431513100928 has 256 divisors, whose sum is σ = 1127068992000. Its totient is φ = 159692488704.

The previous prime is 431513100883. The next prime is 431513100959. The reversal of 431513100928 is 829001315134.

It is a super-2 number, since 2×431513100928² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33062148 + ... + 33075196.

It is an arithmetic number, because the mean of its divisors is an integer number (4402613250).

Almost surely, 2^431513100928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431513100928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563534496000).

431513100928 is an abundant number, since it is smaller than the sum of its proper divisors (695555891072).

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

431513100928 is a wasteful number, since it uses less digits than its factorization.

431513100928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13267 (or 13255 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 431513100928 in words is "four hundred thirty-one billion, five hundred thirteen million, one hundred thousand, nine hundred twenty-eight".