57005928 has 96 divisors (see below), whose sum is σ = 185764800. Its totient is φ = 15427584.

The previous prime is 57005911. The next prime is 57005929. The reversal of 57005928 is 82950075.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 57005892 and 57005901.

It is not an unprimeable number, because it can be changed into a prime (57005929) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6600 + ... + 12552.

It is an arithmetic number, because the mean of its divisors is an integer number (1935050).

Almost surely, 2^57005928 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 57005928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92882400).

57005928 is an abundant number, since it is smaller than the sum of its proper divisors (128758872).

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

57005928 is a wasteful number, since it uses less digits than its factorization.

57005928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5991 (or 5984 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 57005928 is about 7550.2270164545. The cubic root of 57005928 is about 384.8634541358.

It can be divided in two parts, 5700 and 5928, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 57005928 in words is "fifty-seven million, five thousand, nine hundred twenty-eight".