28338 has 8 divisors (see below), whose sum is σ = 56688. Its totient is φ = 9444.

The previous prime is 28319. The next prime is 28349. The reversal of 28338 is 83382.

It is a sphenic number, since it is the product of 3 distinct primes.

28338 is an admirable number.

It is a super-3 number, since 3×28338³ = 68269833331416, which contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2356 + ... + 2367.

It is an arithmetic number, because the mean of its divisors is an integer number (7086).

2²⁸³³⁸ is an apocalyptic number.

28338 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 (28344).

28338 is a wasteful number, since it uses less digits than its factorization.

28338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4728.

The product of its digits is 1152, while the sum is 24.

The square root of 28338 is about 168.3389438009. The cubic root of 28338 is about 30.4875878905.

The spelling of 28338 in words is "twenty-eight thousand, three hundred thirty-eight".