218083328 has 52 divisors (see below), whose sum is σ = 448211520. Its totient is φ = 106020864.

The previous prime is 218083303. The next prime is 218083331. The reversal of 218083328 is 823380812.

It is a happy number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 150833 + ... + 152271.

Almost surely, 2^218083328 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 218083328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224105760).

218083328 is an abundant number, since it is smaller than the sum of its proper divisors (230128192).

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

218083328 is an equidigital number, since it uses as much as digits as its factorization.

218083328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 218083328 is about 14767.6446327774. The cubic root of 218083328 is about 601.9228386439.

The spelling of 218083328 in words is "two hundred eighteen million, eighty-three thousand, three hundred twenty-eight".