791428838928 has 320 divisors, whose sum is σ = 2696479414272. Its totient is φ = 194081955840.

The previous prime is 791428838909. The next prime is 791428838947. The reversal of 791428838928 is 829838824197.

It is an interprime number because it is at equal distance from previous prime (791428838909) and next prime (791428838947).

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 63 ways as a sum of consecutive naturals, for example, 6099043 + ... + 6227453.

Almost surely, 2^791428838928 is an apocalyptic number.

791428838928 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 791428838928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348239707136).

791428838928 is an abundant number, since it is smaller than the sum of its proper divisors (1905050575344).

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

791428838928 is a wasteful number, since it uses less digits than its factorization.

791428838928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128542 (or 128536 counting only the distinct ones).

The product of its digits is 111476736, while the sum is 69.

The spelling of 791428838928 in words is "seven hundred ninety-one billion, four hundred twenty-eight million, eight hundred thirty-eight thousand, nine hundred twenty-eight".