23528628 has 72 divisors (see below), whose sum is σ = 63598080. Its totient is φ = 7318080.

The previous prime is 23528627. The next prime is 23528639. The reversal of 23528628 is 82682532.

23528628 is a `hidden beast` number, since 2 + 3 + 5 + 28 + 628 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 23528592 and 23528601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23528621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32001 + ... + 32727.

Almost surely, 2^23528628 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 23528628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31799040).

23528628 is an abundant number, since it is smaller than the sum of its proper divisors (40069452).

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

23528628 is a wasteful number, since it uses less digits than its factorization.

23528628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 792 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 23528628 is about 4850.6317114372. The cubic root of 23528628 is about 286.5489805971.

The spelling of 23528628 in words is "twenty-three million, five hundred twenty-eight thousand, six hundred twenty-eight".