28872 has 24 divisors (see below), whose sum is σ = 78390. Its totient is φ = 9600.

The previous prime is 28871. The next prime is 28879. The reversal of 28872 is 27882.

It can be written as a sum of positive squares in only one way, i.e., 15876 + 12996 = 126^2 + 114^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 28872.

It is not an unprimeable number, because it can be changed into a prime (28871) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 129 + ... + 272.

2²⁸⁸⁷² is an apocalyptic number.

It is an amenable number.

28872 is an abundant number, since it is smaller than the sum of its proper divisors (49518).

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

28872 is a wasteful number, since it uses less digits than its factorization.

28872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 406 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 28872 is about 169.9176271021. The cubic root of 28872 is about 30.6778996866.

Subtracting from 28872 its reverse (27882), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 288 and 72, that multiplied together give a 4-th power (20736 = 12⁴).

The spelling of 28872 in words is "twenty-eight thousand, eight hundred seventy-two".