220307328 has 144 divisors (see below), whose sum is σ = 658359000. Its totient is φ = 70709760.

The previous prime is 220307303. The next prime is 220307333. The reversal of 220307328 is 823703022.

220307328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1106973 + ... + 1107171.

Almost surely, 2^220307328 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 220307328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329179500).

220307328 is an abundant number, since it is smaller than the sum of its proper divisors (438051672).

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

220307328 is a wasteful number, since it uses less digits than its factorization.

220307328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 220307328 is about 14842.7533833854. The cubic root of 220307328 is about 603.9620460633.

The spelling of 220307328 in words is "two hundred twenty million, three hundred seven thousand, three hundred twenty-eight".