Radio icon is greyed out

The humming sound prior to cutting out could indicate a short in the unit itself.....remove unit and have it tested!

I have problems from time to time with my home cd player and clean it with an air spray can used to clean computers, seems to work for me, it's a cheap first step.

If it's what I think it is, the question is whether you have had kids in the car... (or annoying friends). I had the same issue with my radio and it turns out the cd player was being used as a coin collector.

I would disconnect the battery (following Chevrolet instructions so you don't hose the computer), then take the radio out and shake them loose (gently). (They never got the candy bar, but maybe you made some coin!)
Eventually it fried my radio, but I was able to get it repaired (it was new enough then to not just dump it). I had to be the "Fonz" and bang on the dash to get it to work sometimes.

Sounds like liquid damage to the LCD or display circuit. Try contacting Radio Sound (www.radiosound.com) for repair options. They repair 05 and older Harley radios.

First check the wiring to the radio. You may measure the power being ok but you also need to make sure the ground connection is ok. If this is all ok it may be that you have dry solder joints on wiring socket inside the radio or a blown track or protection diode.

I had similar issues with my audio being mute intermittenly. I ended up being a penny in the CD player slot. (I think the previous owners kid put a penny thru the CD player slot) It also shorted out my DVD system, the DVD player would not come on. The dealership where I bought it seen me to GV Electronics to have my DVD player replaced, and they removed my CD Player and heard change banging around in the Player. After dis assembling it, they found the penny. Everytime I hit a bump or go over railroad tracks, the audio would mute.

Could be a bad connection in between radio and antenna . Check that first . If that doesn't work try a film strip antenna

where you bought it should have a record of you buying it as well, make sure to bring all thr proof who you are, and try to remember the date you bought it. all the info you can give will help them locate the sales tag.

Buy a new one!

Does it cut out when you are listening to the tuner as well as the cd player? If so, you have a bad connection somewhere. Sometimes the solder joints inside the radio can be cracked and will cut out when you hit bumps. May be a wire that is a little loose. Check all the wiring.
If it only cuts out when you are listening to the CD player, you may need the lens cleaned or the laser replaced. Sometimes the cd player cuts out because the unit has too much wiggle room and it bounces a little when you hit a bump causing the cd to skip or cut out. and there is always the dirty CD. Try cleaning the CD's with windex and a soft cloth like a bath towel. It works great for me and is cheap. Fingerprints can and will cause a cd player to skip.