53328384 has 120 divisors (see below), whose sum is σ = 157034592. Its totient is φ = 17418240.

The previous prime is 53328377. The next prime is 53328437. The reversal of 53328384 is 48382335.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 327087 + ... + 327249.

Almost surely, 2^53328384 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 53328384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78517296).

53328384 is an abundant number, since it is smaller than the sum of its proper divisors (103706208).

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

53328384 is a wasteful number, since it uses less digits than its factorization.

53328384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 239 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 53328384 is about 7302.6285678514. The cubic root of 53328384 is about 376.4027674397.

The spelling of 53328384 in words is "fifty-three million, three hundred twenty-eight thousand, three hundred eighty-four".