253225728 has 162 divisors, whose sum is σ = 849692844. Its totient is φ = 72317952.

The previous prime is 253225657. The next prime is 253225729. The reversal of 253225728 is 827522352.

It is a happy number.

253225728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×253225728² = 128246538642259968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 253225692 and 253225701.

It is not an unprimeable number, because it can be changed into a prime (253225729) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 111775 + ... + 114017.

Almost surely, 2^253225728 is an apocalyptic number.

253225728 is a gapful number since it is divisible by the number (28) 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 253225728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424846422).

253225728 is an abundant number, since it is smaller than the sum of its proper divisors (596467116).

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

253225728 is a wasteful number, since it uses less digits than its factorization.

253225728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2279 (or 2255 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 253225728 is about 15913.0678374724. The cubic root of 253225728 is about 632.6583962788.

The spelling of 253225728 in words is "two hundred fifty-three million, two hundred twenty-five thousand, seven hundred twenty-eight".