220040928 has 192 divisors, whose sum is σ = 692375040. Its totient is φ = 67737600.

The previous prime is 220040927. The next prime is 220040929. The reversal of 220040928 is 829040022.

220040928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220040927) and next prime (220040929).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220040927) 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, 1042743 + ... + 1042953.

It is an arithmetic number, because the mean of its divisors is an integer number (3606120).

Almost surely, 2^220040928 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 220040928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346187520).

220040928 is an abundant number, since it is smaller than the sum of its proper divisors (472334112).

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

220040928 is a wasteful number, since it uses less digits than its factorization.

220040928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 220040928 is about 14833.7765926281. The cubic root of 220040928 is about 603.7185069025.

The spelling of 220040928 in words is "two hundred twenty million, forty thousand, nine hundred twenty-eight".