5110928256 has 384 divisors, whose sum is σ = 17161459200. Its totient is φ = 1317482496.

The previous prime is 5110928219. The next prime is 5110928309. The reversal of 5110928256 is 6528290115.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×5110928256² = 52243175275958403072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22318350 + ... + 22318578.

It is an arithmetic number, because the mean of its divisors is an integer number (44691300).

Almost surely, 2^5110928256 is an apocalyptic number.

5110928256 is a gapful number since it is divisible by the number (56) 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 5110928256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8580729600).

5110928256 is an abundant number, since it is smaller than the sum of its proper divisors (12050530944).

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

5110928256 is a wasteful number, since it uses less digits than its factorization.

5110928256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The square root of 5110928256 is about 71490.7564374584. The cubic root of 5110928256 is about 1722.5292085629.

The spelling of 5110928256 in words is "five billion, one hundred ten million, nine hundred twenty-eight thousand, two hundred fifty-six".