220252928 has 72 divisors (see below), whose sum is σ = 508465440. Its totient is φ = 93265920.

The previous prime is 220252913. The next prime is 220252937. The reversal of 220252928 is 829252022.

It is a happy number.

It is a super-2 number, since 2×220252928² = 97022704585146368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 220252894 and 220252903.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158798 + ... + 160178.

It is an arithmetic number, because the mean of its divisors is an integer number (7062020).

Almost surely, 2^220252928 is an apocalyptic number.

220252928 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 220252928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254232720).

220252928 is an abundant number, since it is smaller than the sum of its proper divisors (288212512).

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

220252928 is an equidigital number, since it uses as much as digits as its factorization.

220252928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 220252928 is about 14840.9207261544. The cubic root of 220252928 is about 603.9123303014.

The spelling of 220252928 in words is "two hundred twenty million, two hundred fifty-two thousand, nine hundred twenty-eight".