5257608928 has 144 divisors (see below), whose sum is σ = 12626191872. Its totient is φ = 2134080000.

The previous prime is 5257608907. The next prime is 5257608929. The reversal of 5257608928 is 8298067525.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5257608929) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1842703 + ... + 1845553.

It is an arithmetic number, because the mean of its divisors is an integer number (87681888).

Almost surely, 2^5257608928 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 5257608928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6313095936).

5257608928 is an abundant number, since it is smaller than the sum of its proper divisors (7368582944).

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

5257608928 is a wasteful number, since it uses less digits than its factorization.

5257608928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2929 (or 2908 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 52.

The square root of 5257608928 is about 72509.3713115760. The cubic root of 5257608928 is about 1738.8525627334.

The spelling of 5257608928 in words is "five billion, two hundred fifty-seven million, six hundred eight thousand, nine hundred twenty-eight".