28152 has 48 divisors (see below), whose sum is σ = 84240. Its totient is φ = 8448.

The previous prime is 28151. The next prime is 28163. The reversal of 28152 is 25182.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a nialpdrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 28152.

It is not an unprimeable number, because it can be changed into a prime (28151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1213 + ... + 1235.

It is an arithmetic number, because the mean of its divisors is an integer number (1755).

2²⁸¹⁵² 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 28152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42120).

28152 is an abundant number, since it is smaller than the sum of its proper divisors (56088).

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

28152 is a wasteful number, since it uses less digits than its factorization.

28152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 45 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 28152 is about 167.7855774493. The cubic root of 28152 is about 30.4207383886.

It can be divided in two parts, 281 and 52, that added together give a palindrome (333).

The spelling of 28152 in words is "twenty-eight thousand, one hundred fifty-two".