790928928 has 192 divisors, whose sum is σ = 2406096000. Its totient is φ = 252564480.

The previous prime is 790928921. The next prime is 790928933. The reversal of 790928928 is 829829097.

It is a super-3 number, since 3×790928928³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (790928921) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2266098 + ... + 2266446.

It is an arithmetic number, because the mean of its divisors is an integer number (12531750).

Almost surely, 2^790928928 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 790928928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203048000).

790928928 is an abundant number, since it is smaller than the sum of its proper divisors (1615167072).

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

790928928 is a wasteful number, since it uses less digits than its factorization.

790928928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 790928928 is about 28123.4586777658. The cubic root of 790928928 is about 924.7957388764.

Subtracting 790928928 from its reverse (829829097), we obtain a square (38900169 = 6237²).

The spelling of 790928928 in words is "seven hundred ninety million, nine hundred twenty-eight thousand, nine hundred twenty-eight".