220911328 has 192 divisors, whose sum is σ = 555206400. Its totient is φ = 85155840.

The previous prime is 220911323. The next prime is 220911329. The reversal of 220911328 is 823119022.

220911328 = 37³ + 38³ + ... + 172³.

220911328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 220911296 and 220911305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220911323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3297151 + ... + 3297217.

It is an arithmetic number, because the mean of its divisors is an integer number (2891700).

Almost surely, 2^220911328 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 220911328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277603200).

220911328 is an abundant number, since it is smaller than the sum of its proper divisors (334295072).

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

220911328 is a wasteful number, since it uses less digits than its factorization.

220911328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 220911328 is about 14863.0860860052. The cubic root of 220911328 is about 604.5134881643.

The spelling of 220911328 in words is "two hundred twenty million, nine hundred eleven thousand, three hundred twenty-eight".