53328 has 40 divisors (see below), whose sum is σ = 151776. Its totient is φ = 16000.

The previous prime is 53327. The next prime is 53353. The reversal of 53328 is 82335.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 478 + ... + 578.

2⁵³³²⁸ 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 53328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75888).

53328 is an abundant number, since it is smaller than the sum of its proper divisors (98448).

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

53328 is a wasteful number, since it uses less digits than its factorization.

53328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 117 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 53328 is about 230.9285603818. The cubic root of 53328 is about 37.6401863987.

It can be divided in two parts, 533 and 28, that added together give a triangular number (561 = T₃₃).

The spelling of 53328 in words is "fifty-three thousand, three hundred twenty-eight".