220428248688 has 60 divisors (see below), whose sum is σ = 620822264088. Its totient is φ = 73008074880.

The previous prime is 220428248683. The next prime is 220428248693. The reversal of 220428248688 is 886842824022.

220428248688 is a `hidden beast` number, since 2 + 2 + 0 + 4 + 2 + 82 + 486 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (220428248683) and next prime (220428248693).

It is a super-3 number, since 3×220428248688³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220428248681) 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, 4852398 + ... + 4897613.

Almost surely, 2^220428248688 is an apocalyptic number.

It is an amenable number.

220428248688 is an abundant number, since it is smaller than the sum of its proper divisors (400394015400).

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

220428248688 is a wasteful number, since it uses less digits than its factorization.

220428248688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9750182 (or 9750173 counting only the distinct ones).

The product of its (nonzero) digits is 6291456, while the sum is 54.

The spelling of 220428248688 in words is "two hundred twenty billion, four hundred twenty-eight million, two hundred forty-eight thousand, six hundred eighty-eight".