57128431248 has 240 divisors, whose sum is σ = 191460245760. Its totient is φ = 16261814016.

The previous prime is 57128431229. The next prime is 57128431253. The reversal of 57128431248 is 84213482175.

57128431248 is a `hidden beast` number, since 57 + 1 + 284 + 312 + 4 + 8 = 666.

57128431248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5858665 + ... + 5868407.

It is an arithmetic number, because the mean of its divisors is an integer number (797751024).

Almost surely, 2^57128431248 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 57128431248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95730122880).

57128431248 is an abundant number, since it is smaller than the sum of its proper divisors (134331814512).

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

57128431248 is a wasteful number, since it uses less digits than its factorization.

57128431248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10051 (or 10032 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The spelling of 57128431248 in words is "fifty-seven billion, one hundred twenty-eight million, four hundred thirty-one thousand, two hundred forty-eight".