28139568768 has 192 divisors, whose sum is σ = 83647792800. Its totient is φ = 9074386944.

The previous prime is 28139568757. The next prime is 28139568773. The reversal of 28139568768 is 86786593182.

28139568768 is a `hidden beast` number, since 2 + 8 + 1 + 3 + 9 + 568 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5297698 + ... + 5303006.

Almost surely, 2^28139568768 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 28139568768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41823896400).

28139568768 is an abundant number, since it is smaller than the sum of its proper divisors (55508224032).

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

28139568768 is a wasteful number, since it uses less digits than its factorization.

28139568768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5479 (or 5464 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 28139568768 in words is "twenty-eight billion, one hundred thirty-nine million, five hundred sixty-eight thousand, seven hundred sixty-eight".