18228400 has 60 divisors (see below), whose sum is σ = 44206000. Its totient is φ = 7223040.

The previous prime is 18228389. The next prime is 18228421. The reversal of 18228400 is 482281.

18228400 = T₈₁ + T₈₂ + ... + T₄₇₈.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 79486 + ... + 79714.

Almost surely, 2^18228400 is an apocalyptic number.

18228400 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 18228400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22103000).

18228400 is an abundant number, since it is smaller than the sum of its proper divisors (25977600).

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

18228400 is a wasteful number, since it uses less digits than its factorization.

18228400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 18228400 is about 4269.4730353991. The cubic root of 18228400 is about 263.1779602945.

It can be divided in two parts, 182 and 28400, that added together give a palindrome (28582).

The spelling of 18228400 in words is "eighteen million, two hundred twenty-eight thousand, four hundred".