18228000 has 288 divisors, whose sum is σ = 71705088. Its totient is φ = 4032000.

The previous prime is 18227999. The next prime is 18228017. The reversal of 18228000 is 82281.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 587985 + ... + 588015.

It is an arithmetic number, because the mean of its divisors is an integer number (248976).

Almost surely, 2^18228000 is an apocalyptic number.

18228000 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 18228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35852544).

18228000 is an abundant number, since it is smaller than the sum of its proper divisors (53477088).

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

18228000 is a wasteful number, since it uses less digits than its factorization.

18228000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 18228000 is about 4269.4261909535. The cubic root of 18228000 is about 263.1760352407.

It can be divided in two parts, 182 and 28000, that added together give a palindrome (28182).

The spelling of 18228000 in words is "eighteen million, two hundred twenty-eight thousand".