7795268928 has 672 divisors, whose sum is σ = 26982359040. Its totient is φ = 2217093120.

The previous prime is 7795268917. The next prime is 7795268939. The reversal of 7795268928 is 8298625977.

7795268928 is a `hidden beast` number, since 7 + 7 + 9 + 526 + 89 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (7795268917) and next prime (7795268939).

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, 210682926 + ... + 210682962.

It is an arithmetic number, because the mean of its divisors is an integer number (40152320).

Almost surely, 2^7795268928 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 7795268928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13491179520).

7795268928 is an abundant number, since it is smaller than the sum of its proper divisors (19187090112).

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

7795268928 is a wasteful number, since it uses less digits than its factorization.

7795268928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 115 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The square root of 7795268928 is about 88290.8201796767. The cubic root of 7795268928 is about 1982.7914346437.

The spelling of 7795268928 in words is "seven billion, seven hundred ninety-five million, two hundred sixty-eight thousand, nine hundred twenty-eight".