General aviation pilot landing at a non towered airport reported while on short final another arriving aircraft on base leg passed overhead them and then flew 50 to 100 feet above and parallel to them while they were on landing roll.

Narrative

On final approach to runway XX at ZZZ [airport]; I observed another aircraft (PA-28) above me on what was a very wide base and approaching my path. I confirmed on ADS-B that aircraft was above me on an intersecting course as I continued to descend. I called my position; intention to land; traffic in sight and continued my approach. The other aircraft passed overhead at about 500 feet above me; maybe a little higher. As I rolled out for landing; the aircraft passed on my right; 50-100 feet and roughly along the parallel taxiway. If the pilot was trying to get my attention; that certainly did it.When I commented on this to the FBO; the person on duty said that he heard the other airplane; but did not hear my calls. I had previously been in contact with ZZZ approach; so I knew my radios were operating; however; my passenger and I previously noted static on the ZZZ [airport] frequency when we departed an hour previously.At non-towered airports; it is always possible that approaching aircraft may not be in radio contact; this is why proper pattern operations described in the AIM and advisory circular are so important. I was both on final approach and lower than the approaching aircraft. The aircraft was far enough away from me on base as to make it uncertain if it was in the pattern or passing near/overhead. The low approach/go around was both unsafe and unprofessional. If I had to execute a go around myself; a collision would have been likely.