28272 has 40 divisors (see below), whose sum is σ = 79360. Its totient is φ = 8640.

The previous prime is 28229. The next prime is 28277. The reversal of 28272 is 27282.

28272 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28277) by changing a digit.

28272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 897 + ... + 927.

It is an arithmetic number, because the mean of its divisors is an integer number (1984).

2²⁸²⁷² 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 28272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39680).

28272 is an abundant number, since it is smaller than the sum of its proper divisors (51088).

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

28272 is a wasteful number, since it uses less digits than its factorization.

28272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 55 counting only the distinct ones).

The product of its digits is 448, while the sum is 21.

The square root of 28272 is about 168.1427964559. The cubic root of 28272 is about 30.4639006747.

Subtracting from 28272 its reverse (27282), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 28 and 272, that added together give a triangular number (300 = T₂₄).

The spelling of 28272 in words is "twenty-eight thousand, two hundred seventy-two".