5257285128 has 128 divisors (see below), whose sum is σ = 14864256000. Its totient is φ = 1721433600.

The previous prime is 5257285087. The next prime is 5257285169. The reversal of 5257285128 is 8215827525.

5257285128 is a `hidden beast` number, since 5 + 2 + 572 + 8 + 51 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (5257285087) and next prime (5257285169).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2987913 + ... + 2989671.

It is an arithmetic number, because the mean of its divisors is an integer number (116127000).

Almost surely, 2^5257285128 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 5257285128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7432128000).

5257285128 is an abundant number, since it is smaller than the sum of its proper divisors (9606970872).

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

5257285128 is a wasteful number, since it uses less digits than its factorization.

5257285128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012 (or 2002 counting only the distinct ones).

The product of its digits is 448000, while the sum is 45.

The square root of 5257285128 is about 72507.1384623611. The cubic root of 5257285128 is about 1738.8168651361.

The spelling of 5257285128 in words is "five billion, two hundred fifty-seven million, two hundred eighty-five thousand, one hundred twenty-eight".