253728 has 36 divisors (see below), whose sum is σ = 722358. Its totient is φ = 84480.

The previous prime is 253717. The next prime is 253733. The reversal of 253728 is 827352.

It can be written as a sum of positive squares in only one way, i.e., 242064 + 11664 = 492^2 + 108^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 253728.

It is an unprimeable number.

253728 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 5 ways as a sum of consecutive naturals, for example, 153 + ... + 728.

2²⁵³⁷²⁸ is an apocalyptic number.

It is an amenable number.

253728 is an abundant number, since it is smaller than the sum of its proper divisors (468630).

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

253728 is a wasteful number, since it uses less digits than its factorization.

253728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 886 counting only the distinct ones).

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

The square root of 253728 is about 503.7142046836. The cubic root of 253728 is about 63.3076411641.

The spelling of 253728 in words is "two hundred fifty-three thousand, seven hundred twenty-eight".