253727928 has 96 divisors (see below), whose sum is σ = 704106000. Its totient is φ = 82520064.

The previous prime is 253727921. The next prime is 253727939. The reversal of 253727928 is 829727352.

253727928 is a `hidden beast` number, since 2 + 537 + 27 + 92 + 8 = 666.

It is a super-2 number, since 2×253727928² = 128755722894346368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253727921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 718600 + ... + 718952.

Almost surely, 2^253727928 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 253727928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352053000).

253727928 is an abundant number, since it is smaller than the sum of its proper divisors (450378072).

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

253727928 is a wasteful number, since it uses less digits than its factorization.

253727928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 574 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 253727928 is about 15928.8395057518. The cubic root of 253727928 is about 633.0763517584.

The spelling of 253727928 in words is "two hundred fifty-three million, seven hundred twenty-seven thousand, nine hundred twenty-eight".