220627728 has 60 divisors (see below), whose sum is σ = 627598348. Its totient is φ = 72334080.

The previous prime is 220627723. The next prime is 220627739. The reversal of 220627728 is 827726022.

220627728 is a `hidden beast` number, since 2 + 2 + 0 + 627 + 7 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 56070144 + 164557584 = 7488^2 + 12828^2 .

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 = 220627692 and 220627701.

It is not an unprimeable number, because it can be changed into a prime (220627721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3775 + ... + 21342.

Almost surely, 2^220627728 is an apocalyptic number.

It is an amenable number.

220627728 is an abundant number, since it is smaller than the sum of its proper divisors (406970620).

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

220627728 is a wasteful number, since it uses less digits than its factorization.

220627728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25192 (or 25183 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 220627728 is about 14853.5426077418. The cubic root of 220627728 is about 604.2546913542.

The spelling of 220627728 in words is "two hundred twenty million, six hundred twenty-seven thousand, seven hundred twenty-eight".