28164 has 12 divisors (see below), whose sum is σ = 65744. Its totient is φ = 9384.

The previous prime is 28163. The next prime is 28181. The reversal of 28164 is 46182.

It is a tau number, because it is divible by the number of its divisors (12).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 28164.

It is not an unprimeable number, because it can be changed into a prime (28163) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1162 + ... + 1185.

2²⁸¹⁶⁴ is an apocalyptic number.

It is an amenable number.

28164 is an abundant number, since it is smaller than the sum of its proper divisors (37580).

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 (32872).

28164 is a wasteful number, since it uses less digits than its factorization.

28164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2354 (or 2352 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 28164 is about 167.8213335664. The cubic root of 28164 is about 30.4250601302.

The spelling of 28164 in words is "twenty-eight thousand, one hundred sixty-four".