220748928 has 128 divisors (see below), whose sum is σ = 622036800. Its totient is φ = 69242880.

The previous prime is 220748911. The next prime is 220748947. The reversal of 220748928 is 829847022.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 220748928.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478618 + ... + 479078.

Almost surely, 2^220748928 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 220748928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311018400).

220748928 is an abundant number, since it is smaller than the sum of its proper divisors (401287872).

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

220748928 is a wasteful number, since it uses less digits than its factorization.

220748928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 220748928 is about 14857.6218823875. The cubic root of 220748928 is about 604.3653185222.

The spelling of 220748928 in words is "two hundred twenty million, seven hundred forty-eight thousand, nine hundred twenty-eight".