557928 has 96 divisors (see below), whose sum is σ = 1834560. Its totient is φ = 155520.

The previous prime is 557927. The next prime is 557981. The reversal of 557928 is 829755.

It is a super-2 number, since 2×557928² = 622567306368, which contains 22 as substring.

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 = 557892 and 557901.

It is not an unprimeable number, because it can be changed into a prime (557927) by changing a digit.

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 in 23 ways as a sum of consecutive naturals, for example, 13588 + ... + 13628.

It is an arithmetic number, because the mean of its divisors is an integer number (19110).

2⁵⁵⁷⁹²⁸ 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 557928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917280).

557928 is an abundant number, since it is smaller than the sum of its proper divisors (1276632).

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

557928 is a wasteful number, since it uses less digits than its factorization.

557928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 53 counting only the distinct ones).

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

The square root of 557928 is about 746.9457811649. The cubic root of 557928 is about 82.3239219884.

It can be divided in two parts, 557 and 928, that added together give a triangular number (1485 = T₅₄).

The spelling of 557928 in words is "five hundred fifty-seven thousand, nine hundred twenty-eight".