220370982728 has 108 divisors (see below), whose sum is σ = 475925824395. Its totient is φ = 95599296000.

The previous prime is 220370982701. The next prime is 220370982757. The reversal of 220370982728 is 827289073022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 89340014404 + 131030968324 = 298898^2 + 361982^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=331942.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 293436353 + ... + 293437103.

Almost surely, 2^220370982728 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 220370982728

220370982728 is an abundant number, since it is smaller than the sum of its proper divisors (255554841667).

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

220370982728 is an equidigital number, since it uses as much as digits as its factorization.

220370982728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 50.

Multiplying 220370982728 by its sum of digits (50), we get a square (11018549136400 = 3319420²).

The spelling of 220370982728 in words is "two hundred twenty billion, three hundred seventy million, nine hundred eighty-two thousand, seven hundred twenty-eight".