28772 has 6 divisors (see below), whose sum is σ = 50358. Its totient is φ = 14384.

The previous prime is 28771. The next prime is 28789. The reversal of 28772 is 27782.

It can be written as a sum of positive squares in only one way, i.e., 17956 + 10816 = 134^2 + 104^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 28772.

It is not an unprimeable number, because it can be changed into a prime (28771) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3593 + ... + 3600.

It is an arithmetic number, because the mean of its divisors is an integer number (8393).

2²⁸⁷⁷² is an apocalyptic number.

It is an amenable number.

28772 is a deficient number, since it is larger than the sum of its proper divisors (21586).

28772 is a wasteful number, since it uses less digits than its factorization.

28772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7197 (or 7195 counting only the distinct ones).

The product of its digits is 1568, while the sum is 26.

The square root of 28772 is about 169.6231116328. The cubic root of 28772 is about 30.6424404340.

Subtracting from 28772 its reverse (27782), we obtain a triangular number (990 = T₄₄).

The spelling of 28772 in words is "twenty-eight thousand, seven hundred seventy-two".