28752 has 20 divisors (see below), whose sum is σ = 74400. Its totient is φ = 9568.

The previous prime is 28751. The next prime is 28753. The reversal of 28752 is 25782.

It is an interprime number because it is at equal distance from previous prime (28751) and next prime (28753).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28751) 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 3 ways as a sum of consecutive naturals, for example, 252 + ... + 347.

It is an arithmetic number, because the mean of its divisors is an integer number (3720).

2²⁸⁷⁵² is an apocalyptic number.

It is an amenable number.

28752 is an abundant number, since it is smaller than the sum of its proper divisors (45648).

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 (37200).

28752 is a wasteful number, since it uses less digits than its factorization.

28752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 604 counting only the distinct ones).

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

The square root of 28752 is about 169.5641471538. The cubic root of 28752 is about 30.6353387279.

It can be divided in two parts, 28 and 752, that added together give a triangular number (780 = T₃₉).

The spelling of 28752 in words is "twenty-eight thousand, seven hundred fifty-two".