57874128 has 80 divisors (see below), whose sum is σ = 162281280. Its totient is φ = 17667072.

The previous prime is 57874109. The next prime is 57874129. The reversal of 57874128 is 82147875.

57874128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×57874128³ (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 57874128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57874129) 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 15 ways as a sum of consecutive naturals, for example, 101428 + ... + 101996.

It is an arithmetic number, because the mean of its divisors is an integer number (2028516).

Almost surely, 2^57874128 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 57874128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81140640).

57874128 is an abundant number, since it is smaller than the sum of its proper divisors (104407152).

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

57874128 is a wasteful number, since it uses less digits than its factorization.

57874128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 750 counting only the distinct ones).

The product of its digits is 125440, while the sum is 42.

The square root of 57874128 is about 7607.5047157396. The cubic root of 57874128 is about 386.8074411450.

The spelling of 57874128 in words is "fifty-seven million, eight hundred seventy-four thousand, one hundred twenty-eight".