And, an awful lot of airplanes use 24 to 28 VDC.
As to the 400 Hz question, remember that when that frequency was selected, converters were mechanical. 400X60 = 24,000 rpm. I am not suggesting that the generators ran at 24,000 rpm. I only want to illustrate the mechanical equivalent of 400 Hz. You can configure the generator in different ways (e.g., increase the number of poles to decrease the rpm needed), but getting much higher frequencies will present problems. Wikipedia gives an example of LF RF generated mechanically, but that is not particularly relevant to power systems in aircraft.
Some things just happen, they work, and are then adopted as a standard. For example, ask yourself why most screws are inserted turning to the right? (There actually is a reason usually given for that, but I am not sure it influenced the decision at the time RH screws became dominant.)
Edit: Maybe these are better examples of the "it worked" principle. Why do most American aircraft engines turn counterclockwise (when viewed from the front looking toward the tail) and British engines turn clockwise? Why do the Brits drive on the left and the rest of us (mostly) drive on the right?
John