218540328 has 64 divisors (see below), whose sum is σ = 570931200. Its totient is φ = 69627840.

The previous prime is 218540323. The next prime is 218540351. The reversal of 218540328 is 823045812.

It is not an unprimeable number, because it can be changed into a prime (218540323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 59983 + ... + 63521.

It is an arithmetic number, because the mean of its divisors is an integer number (8920800).

Almost surely, 2^218540328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218540328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285465600).

218540328 is an abundant number, since it is smaller than the sum of its proper divisors (352390872).

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

218540328 is a wasteful number, since it uses less digits than its factorization.

218540328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3662 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 218540328 is about 14783.1095511060. The cubic root of 218540328 is about 602.3429942759.

The spelling of 218540328 in words is "two hundred eighteen million, five hundred forty thousand, three hundred twenty-eight".