928191100900 has 72 divisors (see below), whose sum is σ = 2324705334336. Its totient is φ = 315086064000.

The previous prime is 928191100873. The next prime is 928191100913. The reversal of 928191100900 is 9001191829.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6493594 + ... + 6634993.

It is an arithmetic number, because the mean of its divisors is an integer number (32287574088).

Almost surely, 2^928191100900 is an apocalyptic number.

It is an amenable number.

928191100900 is an abundant number, since it is smaller than the sum of its proper divisors (1396514233436).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

928191100900 is a wasteful number, since it uses less digits than its factorization.

928191100900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13128709 (or 13128702 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 40.

The spelling of 928191100900 in words is "nine hundred twenty-eight billion, one hundred ninety-one million, one hundred thousand, nine hundred".