28336 has 40 divisors (see below), whose sum is σ = 71424. Its totient is φ = 10560.

The previous prime is 28319. The next prime is 28349. The reversal of 28336 is 63382.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a d-powerful number, because it can be written as 2¹¹ + 8 + 3⁸ + 3⁹ + 6² .

It is an unprimeable number.

28336 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, 1221 + ... + 1243.

2²⁸³³⁶ 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 28336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35712).

28336 is an abundant number, since it is smaller than the sum of its proper divisors (43088).

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

28336 is a wasteful number, since it uses less digits than its factorization.

28336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 43 counting only the distinct ones).

The product of its digits is 864, while the sum is 22.

The square root of 28336 is about 168.3330033000. Note that the first 3 decimals coincide. The cubic root of 28336 is about 30.4868706367.

Subtracting from 28336 its product of digits (864), we obtain a palindrome (27472).

It can be divided in two parts, 2 and 8336, that added together give a palindrome (8338).

The spelling of 28336 in words is "twenty-eight thousand, three hundred thirty-six".