53915328 has 112 divisors (see below), whose sum is σ = 162580320. Its totient is φ = 17510400.

The previous prime is 53915299. The next prime is 53915357. The reversal of 53915328 is 82351935.

53915328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53915299) and next prime (53915357).

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 = 53915292 and 53915301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70468 + ... + 71228.

It is an arithmetic number, because the mean of its divisors is an integer number (1451610).

Almost surely, 2^53915328 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 53915328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81290160).

53915328 is an abundant number, since it is smaller than the sum of its proper divisors (108664992).

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

53915328 is a wasteful number, since it uses less digits than its factorization.

53915328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 807 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 53915328 is about 7342.7057683118. The cubic root of 53915328 is about 377.7786560021.

The spelling of 53915328 in words is "fifty-three million, nine hundred fifteen thousand, three hundred twenty-eight".