How to smooth out iPhone 4s scratches?

My friend dropped my phone on concrete and now there's a sharp scratch on the top left, on the white part right under the earbud socket. How do I smooth it out? I tried with a nail filer and sandpaper but all it did was remove the sharpness. Is there a way to smooth is out completely or make it less noticeable. It's really disturbing me.

If you are bothered that much use declining grits of sandpaper.

100, 150, 200, and finish with some 400 wet/dry and then use some Semichrome polish to restore a shine.

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