52728 has 32 divisors (see below), whose sum is σ = 142800. Its totient is φ = 16224.

The previous prime is 52727. The next prime is 52733. The reversal of 52728 is 82725.

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=26.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 52698 and 52707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4050 + ... + 4062.

2⁵²⁷²⁸ 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 52728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71400).

52728 is an abundant number, since it is smaller than the sum of its proper divisors (90072).

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

52728 is a wasteful number, since it uses less digits than its factorization.

52728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 18 counting only the distinct ones).

The product of its digits is 1120, while the sum is 24.

The square root of 52728 is about 229.6257825245. The cubic root of 52728 is about 37.4984888280.

52728 divided by its sum of digits (24) gives a cube (2197 = 13³).

It can be divided in two parts, 527 and 28, that added together give a palindrome (555).

The spelling of 52728 in words is "fifty-two thousand, seven hundred twenty-eight".