Del is right, it probably is M. polyedra.
Mammillaria nigra was a name that Ehrenberg used in Allg. Gartenz 17,287. in 1849. There was, apparently, a very brief description but no type species deposited, so it is difficult to be precise about what the plant actually was. The name somehow carries on with plants in cultivation, but they do appear to be a form of M. polythele.
Ehrenerg lived for a while in Hidalgo, from where both M. polythele and M. rhodantha come, and there are forms of M. polythele with some residual radial spines, and your plant seems to be one of these.