18628272 has 160 divisors (see below), whose sum is σ = 59996160. Its totient is φ = 5495040.

The previous prime is 18628219. The next prime is 18628273. The reversal of 18628272 is 27282681.

It is a happy number.

18628272 is a `hidden beast` number, since 1 + 8 + 628 + 27 + 2 = 666.

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

Its product of digits (21504) is a multiple of the sum of its prime factors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18628273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174043 + ... + 174149.

It is an arithmetic number, because the mean of its divisors is an integer number (374976).

Almost surely, 2^18628272 is an apocalyptic number.

18628272 is a gapful number since it is divisible by the number (12) 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 18628272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29998080).

18628272 is an abundant number, since it is smaller than the sum of its proper divisors (41367888).

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

18628272 is a wasteful number, since it uses less digits than its factorization.

18628272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 156 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 18628272 is about 4316.0481925020. The cubic root of 18628272 is about 265.0884811929.

The spelling of 18628272 in words is "eighteen million, six hundred twenty-eight thousand, two hundred seventy-two".