22528 has 24 divisors (see below), whose sum is σ = 49140. Its totient is φ = 10240.

The previous prime is 22511. The next prime is 22531. The reversal of 22528 is 82522.

22528 is nontrivially palindromic in base 3.

It is an ABA number since it can be written as A⋅B^A, here for A=11, B=2.

It is a nialpdrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2043 + ... + 2053.

22528 is a Friedman number, since it can be written as 22*(8/2)^5, using all its digits and the basic arithmetic operations.

2²²⁵²⁸ 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 22528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24570).

22528 is an abundant number, since it is smaller than the sum of its proper divisors (26612).

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

22528 is an equidigital number, since it uses as much as digits as its factorization.

22528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33 (or 13 counting only the distinct ones).

The product of its digits is 320, while the sum is 19.

The square root of 22528 is about 150.0933043143. The cubic root of 22528 is about 28.2427866826.

It can be divided in two parts, 225 and 28, that added together give a triangular number (253 = T₂₂).

The spelling of 22528 in words is "twenty-two thousand, five hundred twenty-eight".