957728 has 18 divisors (see below), whose sum is σ = 1896489. Its totient is φ = 476096.

The previous prime is 957721. The next prime is 957731. The reversal of 957728 is 827759.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 753424 + 204304 = 868^2 + 452^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=692.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 957691 and 957700.

It is not an unprimeable number, because it can be changed into a prime (957721) by changing a digit.

957728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5450 + ... + 5622.

2⁹⁵⁷⁷²⁸ is an apocalyptic number.

It is an amenable number.

957728 is a deficient number, since it is larger than the sum of its proper divisors (938761).

957728 is an equidigital number, since it uses as much as digits as its factorization.

957728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 175 counting only the distinct ones).

The product of its digits is 35280, while the sum is 38.

The square root of 957728 is about 978.6357851622. The cubic root of 957728 is about 98.5705988068.

It can be divided in two parts, 957 and 728, that multiplied together give a palindrome (696696).

The spelling of 957728 in words is "nine hundred fifty-seven thousand, seven hundred twenty-eight".