18628872 has 32 divisors (see below), whose sum is σ = 49312800. Its totient is φ = 5844224.

The previous prime is 18628867. The next prime is 18628877. The reversal of 18628872 is 27882681.

It is an interprime number because it is at equal distance from previous prime (18628867) and next prime (18628877).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (18628877) 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, 22422 + ... + 23237.

It is an arithmetic number, because the mean of its divisors is an integer number (1541025).

Almost surely, 2^18628872 is an apocalyptic number.

18628872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18628872 is an abundant number, since it is smaller than the sum of its proper divisors (30683928).

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

18628872 is a wasteful number, since it uses less digits than its factorization.

18628872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45685 (or 45681 counting only the distinct ones).

The product of its digits is 86016, while the sum is 42.

The square root of 18628872 is about 4316.1176999707. The cubic root of 18628872 is about 265.0913272501.

The spelling of 18628872 in words is "eighteen million, six hundred twenty-eight thousand, eight hundred seventy-two".