28885769256960 has 2736 divisors, whose sum is σ = 130534880112000. Its totient is φ = 5900504924160.

The previous prime is 28885769256947. The next prime is 28885769256961. The reversal of 28885769256960 is 6965296758882.

28885769256960 is a `hidden beast` number, since 288 + 85 + 7 + 6 + 9 + 256 + 9 + 6 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 28885769256960.

It is not an unprimeable number, because it can be changed into a prime (28885769256961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 489589309411 + ... + 489589309469.

It is an arithmetic number, because the mean of its divisors is an integer number (47710117000).

Almost surely, 2^{28885769256960} is an apocalyptic number.

28885769256960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28885769256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65267440056000).

28885769256960 is an abundant number, since it is smaller than the sum of its proper divisors (101649110855040).

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

28885769256960 is an frugal number, since it uses more digits than its factorization.

28885769256960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 6270566400, while the sum is 81.

The spelling of 28885769256960 in words is "twenty-eight trillion, eight hundred eighty-five billion, seven hundred sixty-nine million, two hundred fifty-six thousand, nine hundred sixty".