23882628100 has 72 divisors (see below), whose sum is σ = 53968420800. Its totient is φ = 9162384000.

The previous prime is 23882628047. The next prime is 23882628167. The reversal of 23882628100 is 182628832.

It is a super-2 number, since 2×23882628100² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 410631 + ... + 465169.

It is an arithmetic number, because the mean of its divisors is an integer number (749561400).

Almost surely, 2^23882628100 is an apocalyptic number.

23882628100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23882628100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26984210400).

23882628100 is an abundant number, since it is smaller than the sum of its proper divisors (30085792700).

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

23882628100 is a wasteful number, since it uses less digits than its factorization.

23882628100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54733 (or 54726 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The spelling of 23882628100 in words is "twenty-three billion, eight hundred eighty-two million, six hundred twenty-eight thousand, one hundred".