23628 has 24 divisors (see below), whose sum is σ = 60480. Its totient is φ = 7120.

The previous prime is 23627. The next prime is 23629. The reversal of 23628 is 82632.

It is an interprime number because it is at equal distance from previous prime (23627) and next prime (23629).

It is not an unprimeable number, because it can be changed into a prime (23623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43 + ... + 221.

It is an arithmetic number, because the mean of its divisors is an integer number (2520).

2²³⁶²⁸ 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 23628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30240).

23628 is an abundant number, since it is smaller than the sum of its proper divisors (36852).

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

23628 is a wasteful number, since it uses less digits than its factorization.

23628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 195 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 23628 is about 153.7140201803. The cubic root of 23628 is about 28.6951822497.

The spelling of 23628 in words is "twenty-three thousand, six hundred twenty-eight".