28396716768 has 432 divisors, whose sum is σ = 101924301024. Its totient is φ = 7447265280.

The previous prime is 28396716749. The next prime is 28396716791. The reversal of 28396716768 is 86761769382.

28396716768 is a `hidden beast` number, since 28 + 396 + 7 + 167 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9834621 + ... + 9837507.

It is an arithmetic number, because the mean of its divisors is an integer number (235935882).

Almost surely, 2^28396716768 is an apocalyptic number.

28396716768 is a gapful number since it is divisible by the number (28) 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 28396716768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50962150512).

28396716768 is an abundant number, since it is smaller than the sum of its proper divisors (73527584256).

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

28396716768 is a wasteful number, since it uses less digits than its factorization.

28396716768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2975 (or 2957 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 28396716768 in words is "twenty-eight billion, three hundred ninety-six million, seven hundred sixteen thousand, seven hundred sixty-eight".