220448928 has 192 divisors, whose sum is σ = 731566080. Its totient is φ = 56635392.

The previous prime is 220448867. The next prime is 220448933. The reversal of 220448928 is 829844022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262333 + ... + 263171.

It is an arithmetic number, because the mean of its divisors is an integer number (3810240).

Almost surely, 2^220448928 is an apocalyptic number.

220448928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220448928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365783040).

220448928 is an abundant number, since it is smaller than the sum of its proper divisors (511117152).

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

220448928 is a wasteful number, since it uses less digits than its factorization.

220448928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 220448928 is about 14847.5226216362. The cubic root of 220448928 is about 604.0914149022.

The spelling of 220448928 in words is "two hundred twenty million, four hundred forty-eight thousand, nine hundred twenty-eight".