28647871776 has 288 divisors, whose sum is σ = 91648488960. Its totient is φ = 8695296000.

The previous prime is 28647871753. The next prime is 28647871781. The reversal of 28647871776 is 67717874682.

28647871776 is a `hidden beast` number, since 2 + 86 + 478 + 7 + 17 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7738726 + ... + 7742426.

It is an arithmetic number, because the mean of its divisors is an integer number (318223920).

Almost surely, 2^28647871776 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 28647871776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45824244480).

28647871776 is an abundant number, since it is smaller than the sum of its proper divisors (63000617184).

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

28647871776 is a wasteful number, since it uses less digits than its factorization.

28647871776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3785 (or 3754 counting only the distinct ones).

The product of its digits is 44255232, while the sum is 63.

The spelling of 28647871776 in words is "twenty-eight billion, six hundred forty-seven million, eight hundred seventy-one thousand, seven hundred seventy-six".