57007128 has 32 divisors (see below), whose sum is σ = 142804800. Its totient is φ = 18964128.

The previous prime is 57007063. The next prime is 57007129. The reversal of 57007128 is 82170075.

It is a happy number.

57007128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 57007095 and 57007104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57007129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11403 + ... + 15621.

It is an arithmetic number, because the mean of its divisors is an integer number (4462650).

Almost surely, 2^57007128 is an apocalyptic number.

It is an amenable number.

57007128 is an abundant number, since it is smaller than the sum of its proper divisors (85797672).

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

57007128 is a wasteful number, since it uses less digits than its factorization.

57007128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4791 (or 4787 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 57007128 is about 7550.3064838455. The cubic root of 57007128 is about 384.8661546322.

The spelling of 57007128 in words is "fifty-seven million, seven thousand, one hundred twenty-eight".