220828207868928 has 704 divisors, whose sum is σ = 722308703961600. Its totient is φ = 66087549665280.

The previous prime is 220828207868743. The next prime is 220828207868981. The reversal of 220828207868928 is 829868702828022.

220828207868928 is a `hidden beast` number, since 220 + 8 + 28 + 207 + 86 + 89 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25362141951 + ... + 25362150657.

Almost surely, 2^{220828207868928} 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 220828207868928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361154351980800).

220828207868928 is an abundant number, since it is smaller than the sum of its proper divisors (501480496092672).

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

220828207868928 is a wasteful number, since it uses less digits than its factorization.

220828207868928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9773 (or 9749 counting only the distinct ones).

The product of its (nonzero) digits is 396361728, while the sum is 72.

The spelling of 220828207868928 in words is "two hundred twenty trillion, eight hundred twenty-eight billion, two hundred seven million, eight hundred sixty-eight thousand, nine hundred twenty-eight".