253628032 has 64 divisors (see below), whose sum is σ = 611461440. Its totient is φ = 102297600.

The previous prime is 253628021. The next prime is 253628033. The reversal of 253628032 is 230826352.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 253627985 and 253628003.

It is not an unprimeable number, because it can be changed into a prime (253628033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6907 + ... + 23557.

It is an arithmetic number, because the mean of its divisors is an integer number (9554085).

Almost surely, 2^253628032 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 253628032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305730720).

253628032 is an abundant number, since it is smaller than the sum of its proper divisors (357833408).

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

253628032 is a wasteful number, since it uses less digits than its factorization.

253628032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16689 (or 16677 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 253628032 is about 15925.7035009446. The cubic root of 253628032 is about 632.9932573756.

The spelling of 253628032 in words is "two hundred fifty-three million, six hundred twenty-eight thousand, thirty-two".