28368 has 30 divisors (see below), whose sum is σ = 79794. Its totient is φ = 9408.

The previous prime is 28351. The next prime is 28387. The reversal of 28368 is 86382.

28368 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 28224 + 144 = 168^2 + 12^2 .

It is a nude number because it is divisible by every one of its digits.

28368 is an undulating number in base 14.

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 46 + ... + 242.

2²⁸³⁶⁸ 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 28368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39897).

28368 is an abundant number, since it is smaller than the sum of its proper divisors (51426).

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

28368 is a wasteful number, since it uses less digits than its factorization.

28368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 202 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 28368 is about 168.4280261714. The cubic root of 28368 is about 30.4983426493.

It can be divided in two parts, 283 and 68, that added together give a triangular number (351 = T₂₆).

The spelling of 28368 in words is "twenty-eight thousand, three hundred sixty-eight".