220789728 has 144 divisors (see below), whose sum is σ = 667714320. Its totient is φ = 69009408.

The previous prime is 220789669. The next prime is 220789733. The reversal of 220789728 is 827987022.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 858976 + ... + 859232.

It is an arithmetic number, because the mean of its divisors is an integer number (4636905).

Almost surely, 2^220789728 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 220789728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333857160).

220789728 is an abundant number, since it is smaller than the sum of its proper divisors (446924592).

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

220789728 is a wasteful number, since it uses less digits than its factorization.

220789728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 220789728 is about 14858.9948516042. The cubic root of 220789728 is about 604.4025502410.

The spelling of 220789728 in words is "two hundred twenty million, seven hundred eighty-nine thousand, seven hundred twenty-eight".