79582892928 has 768 divisors, whose sum is σ = 288002304000. Its totient is φ = 19251025920.

The previous prime is 79582892911. The next prime is 79582892953. The reversal of 79582892928 is 82929828597.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1348862563 + ... + 1348862621.

It is an arithmetic number, because the mean of its divisors is an integer number (375003000).

Almost surely, 2^79582892928 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 79582892928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144001152000).

79582892928 is an abundant number, since it is smaller than the sum of its proper divisors (208419411072).

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

79582892928 is an equidigital number, since it uses as much as digits as its factorization.

79582892928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 101 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 69.

The spelling of 79582892928 in words is "seventy-nine billion, five hundred eighty-two million, eight hundred ninety-two thousand, nine hundred twenty-eight".