57628 has 6 divisors (see below), whose sum is σ = 100856. Its totient is φ = 28812.

The previous prime is 57601. The next prime is 57637. The reversal of 57628 is 82675.

It is a plaindrome in base 6.

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 57596 and 57605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7200 + ... + 7207.

2⁵⁷⁶²⁸ is an apocalyptic number.

It is an amenable number.

57628 is a deficient number, since it is larger than the sum of its proper divisors (43228).

57628 is a wasteful number, since it uses less digits than its factorization.

57628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14411 (or 14409 counting only the distinct ones).

The product of its digits is 3360, while the sum is 28.

The square root of 57628 is about 240.0583262459. The cubic root of 57628 is about 38.6258321721.

Subtracting from 57628 its sum of digits (28), we obtain a square (57600 = 240²).

The spelling of 57628 in words is "fifty-seven thousand, six hundred twenty-eight".