53328352 has 96 divisors (see below), whose sum is σ = 136733184. Its totient is φ = 19852800.

The previous prime is 53328311. The next prime is 53328377. The reversal of 53328352 is 25382335.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56202 + ... + 57142.

It is an arithmetic number, because the mean of its divisors is an integer number (1424304).

Almost surely, 2^53328352 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 53328352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68366592).

53328352 is an abundant number, since it is smaller than the sum of its proper divisors (83404832).

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

53328352 is a wasteful number, since it uses less digits than its factorization.

53328352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 984 counting only the distinct ones).

The product of its digits is 21600, while the sum is 31.

The square root of 53328352 is about 7302.6263768592. The cubic root of 53328352 is about 376.4026921522.

It can be divided in two parts, 533283 and 52, that added together give a palindrome (533335).

The spelling of 53328352 in words is "fifty-three million, three hundred twenty-eight thousand, three hundred fifty-two".