220128480 has 288 divisors, whose sum is σ = 883340640. Its totient is φ = 49213440.

The previous prime is 220128479. The next prime is 220128497. The reversal of 220128480 is 84821022.

220128480 is digitally balanced in base 2, 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 (288).

It is a super-2 number, since 2×220128480² = 96913095414220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205386 + ... + 206454.

It is an arithmetic number, because the mean of its divisors is an integer number (3067155).

Almost surely, 2^220128480 is an apocalyptic number.

220128480 is a gapful number since it is divisible by the number (20) 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 220128480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441670320).

220128480 is an abundant number, since it is smaller than the sum of its proper divisors (663212160).

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

220128480 is a wasteful number, since it uses less digits than its factorization.

220128480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 220128480 is about 14836.7274019576. The cubic root of 220128480 is about 603.7985673930.

The spelling of 220128480 in words is "two hundred twenty million, one hundred twenty-eight thousand, four hundred eighty".