53028 has 24 divisors (see below), whose sum is σ = 137760. Its totient is φ = 17640.

The previous prime is 53017. The next prime is 53047. The reversal of 53028 is 82035.

53028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 53028.

It is an unprimeable number.

53028 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138 + ... + 353.

It is an arithmetic number, because the mean of its divisors is an integer number (5740).

2⁵³⁰²⁸ is an apocalyptic number.

It is an amenable number.

53028 is an abundant number, since it is smaller than the sum of its proper divisors (84732).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68880).

53028 is a wasteful number, since it uses less digits than its factorization.

53028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 53028 is about 230.2780927487. The cubic root of 53028 is about 37.5694712205.

The spelling of 53028 in words is "fifty-three thousand, twenty-eight".