257328 has 30 divisors (see below), whose sum is σ = 720564. Its totient is φ = 85728.

The previous prime is 257321. The next prime is 257339. The reversal of 257328 is 823752.

257328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (257321) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 750 + ... + 1037.

2²⁵⁷³²⁸ is an apocalyptic number.

It is an amenable number.

257328 is an abundant number, since it is smaller than the sum of its proper divisors (463236).

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

257328 is a wasteful number, since it uses less digits than its factorization.

257328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801 (or 1792 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 257328 is about 507.2750733084. The cubic root of 257328 is about 63.6056480092.

It can be divided in two parts, 2573 and 28, that added together give a square (2601 = 51²).

The spelling of 257328 in words is "two hundred fifty-seven thousand, three hundred twenty-eight".