28364 has 12 divisors (see below), whose sum is σ = 56784. Its totient is φ = 12144.

The previous prime is 28351. The next prime is 28387. The reversal of 28364 is 46382.

28364 = 56² + 57² + ... + 63².

It is a happy number.

28364 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

28364 is an admirable number.

It is an unprimeable number.

28364 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 3 ways as a sum of consecutive naturals, for example, 479 + ... + 534.

It is an arithmetic number, because the mean of its divisors is an integer number (4732).

2²⁸³⁶⁴ is an apocalyptic number.

It is an amenable number.

28364 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (28392).

28364 is a wasteful number, since it uses less digits than its factorization.

28364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1022 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 28364 is about 168.4161512445. The cubic root of 28364 is about 30.4969091197.

The spelling of 28364 in words is "twenty-eight thousand, three hundred sixty-four".