57456128 has 40 divisors (see below), whose sum is σ = 115492608. Its totient is φ = 28555264.

The previous prime is 57456101. The next prime is 57456131. The reversal of 57456128 is 82165475.

It is a junction number, because it is equal to n+sod(n) for n = 57456091 and 57456100.

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 3 ways as a sum of consecutive naturals, for example, 149825 + ... + 150207.

Almost surely, 2^57456128 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 57456128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57746304).

57456128 is an abundant number, since it is smaller than the sum of its proper divisors (58036480).

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

57456128 is an equidigital number, since it uses as much as digits as its factorization.

57456128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 678 counting only the distinct ones).

The product of its digits is 67200, while the sum is 38.

The square root of 57456128 is about 7579.9820580263. The cubic root of 57456128 is about 385.8739420313.

The spelling of 57456128 in words is "fifty-seven million, four hundred fifty-six thousand, one hundred twenty-eight".