23628672 has 160 divisors (see below), whose sum is σ = 73311480. Its totient is φ = 7547904.

The previous prime is 23628653. The next prime is 23628677. The reversal of 23628672 is 27682632.

23628672 is a `hidden beast` number, since 23 + 628 + 6 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23628677) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 445798 + ... + 445850.

Almost surely, 2^23628672 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 23628672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36655740).

23628672 is an abundant number, since it is smaller than the sum of its proper divisors (49682808).

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

23628672 is an equidigital number, since it uses as much as digits as its factorization.

23628672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 101 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 23628672 is about 4860.9332437301. The cubic root of 23628672 is about 286.9545428538.

The spelling of 23628672 in words is "twenty-three million, six hundred twenty-eight thousand, six hundred seventy-two".