557328 has 40 divisors (see below), whose sum is σ = 1526688. Its totient is φ = 174592.

The previous prime is 557321. The next prime is 557329. The reversal of 557328 is 823755.

It is a happy number.

It is a super-2 number, since 2×557328² = 621228999168, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 557295 and 557304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 475 + ... + 1157.

2⁵⁵⁷³²⁸ 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 557328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763344).

557328 is an abundant number, since it is smaller than the sum of its proper divisors (969360).

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

557328 is a wasteful number, since it uses less digits than its factorization.

557328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 705 counting only the distinct ones).

The product of its digits is 8400, while the sum is 30.

The square root of 557328 is about 746.5440375490. The cubic root of 557328 is about 82.2944008136.

The spelling of 557328 in words is "five hundred fifty-seven thousand, three hundred twenty-eight".