557728 has 24 divisors (see below), whose sum is σ = 1137780. Its totient is φ = 268800.

The previous prime is 557717. The next prime is 557729. The reversal of 557728 is 827755.

It can be written as a sum of positive squares in 2 ways, for example, as 535824 + 21904 = 732^2 + 148^2 .

It is a super-2 number, since 2×557728² = 622121043968, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 557693 and 557702.

It is not an unprimeable number, because it can be changed into a prime (557729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 628 + ... + 1228.

2⁵⁵⁷⁷²⁸ is an apocalyptic number.

557728 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568890).

557728 is an abundant number, since it is smaller than the sum of its proper divisors (580052).

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

557728 is a wasteful number, since it uses less digits than its factorization.

557728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 632 counting only the distinct ones).

The product of its digits is 19600, while the sum is 34.

The square root of 557728 is about 746.8118906391. The cubic root of 557728 is about 82.3140839495.

The spelling of 557728 in words is "five hundred fifty-seven thousand, seven hundred twenty-eight".