218928800 has 72 divisors (see below), whose sum is σ = 536903136. Its totient is φ = 87171840.

The previous prime is 218928797. The next prime is 218928847. The reversal of 218928800 is 8829812.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 225917 + ... + 226883.

It is an arithmetic number, because the mean of its divisors is an integer number (7456988).

Almost surely, 2^218928800 is an apocalyptic number.

218928800 is a gapful number since it is divisible by the number (20) 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 218928800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268451568).

218928800 is an abundant number, since it is smaller than the sum of its proper divisors (317974336).

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

218928800 is a wasteful number, since it uses less digits than its factorization.

218928800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 38.

The square root of 218928800 is about 14796.2427663242. The cubic root of 218928800 is about 602.6996864549.

The spelling of 218928800 in words is "two hundred eighteen million, nine hundred twenty-eight thousand, eight hundred".