18628100 has 36 divisors (see below), whose sum is σ = 40817700. Its totient is φ = 7378560.

The previous prime is 18628097. The next prime is 18628111. The reversal of 18628100 is 182681.

It can be written as a sum of positive squares in 6 ways, for example, as 802816 + 17825284 = 896^2 + 4222^2 .

It is a super-2 number, since 2×18628100² = 694012219220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 18628100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10046 + ... + 11754.

It is an arithmetic number, because the mean of its divisors is an integer number (1133825).

Almost surely, 2^18628100 is an apocalyptic number.

18628100 is a gapful number since it is divisible by the number (10) 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 18628100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20408850).

18628100 is an abundant number, since it is smaller than the sum of its proper divisors (22189600).

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

18628100 is a wasteful number, since it uses less digits than its factorization.

18628100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 18628100 is about 4316.0282668212. The cubic root of 18628100 is about 265.0876653119.

The spelling of 18628100 in words is "eighteen million, six hundred twenty-eight thousand, one hundred".