23626728 has 120 divisors (see below), whose sum is σ = 70534530. Its totient is φ = 7387200.

The previous prime is 23626721. The next prime is 23626739. The reversal of 23626728 is 82762632.

23626728 is a `hidden beast` number, since 2 + 3 + 626 + 7 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14152644 + 9474084 = 3762^2 + 3078^2 .

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 = 23626692 and 23626701.

It is not an unprimeable number, because it can be changed into a prime (23626721) 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 29 ways as a sum of consecutive naturals, for example, 233878 + ... + 233978.

Almost surely, 2^23626728 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 23626728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35267265).

23626728 is an abundant number, since it is smaller than the sum of its proper divisors (46907802).

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

23626728 is a wasteful number, since it uses less digits than its factorization.

23626728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 125 counting only the distinct ones).

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

The square root of 23626728 is about 4860.7332780147. The cubic root of 23626728 is about 286.9466731079.

The spelling of 23626728 in words is "twenty-three million, six hundred twenty-six thousand, seven hundred twenty-eight".