220238928 has 210 divisors, whose sum is σ = 774403994. Its totient is φ = 58084992.

The previous prime is 220238891. The next prime is 220238933. The reversal of 220238928 is 829832022.

It can be written as a sum of positive squares in only one way, i.e., 152473104 + 67765824 = 12348^2 + 8232^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 220238892 and 220238901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 16941450 + ... + 16941462.

Almost surely, 2^220238928 is an apocalyptic number.

220238928 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 220238928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387201997).

220238928 is an abundant number, since it is smaller than the sum of its proper divisors (554165066).

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

220238928 is an frugal number, since it uses more digits than its factorization.

220238928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 220238928 is about 14840.4490498098. The cubic root of 220238928 is about 603.8995344794.

The spelling of 220238928 in words is "two hundred twenty million, two hundred thirty-eight thousand, nine hundred twenty-eight".