218866928 has 80 divisors (see below), whose sum is σ = 520800000. Its totient is φ = 88820928.

The previous prime is 218866927. The next prime is 218866937. The reversal of 218866928 is 829668812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218866927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103223 + ... + 105321.

It is an arithmetic number, because the mean of its divisors is an integer number (6510000).

Almost surely, 2^218866928 is an apocalyptic number.

218866928 is a gapful number since it is divisible by the number (28) 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 218866928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260400000).

218866928 is an abundant number, since it is smaller than the sum of its proper divisors (301933072).

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

218866928 is a wasteful number, since it uses less digits than its factorization.

218866928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147 (or 2127 counting only the distinct ones).

The product of its digits is 663552, while the sum is 50.

The square root of 218866928 is about 14794.1518175257. The cubic root of 218866928 is about 602.6429042980.

The spelling of 218866928 in words is "two hundred eighteen million, eight hundred sixty-six thousand, nine hundred twenty-eight".