28117277568 has 384 divisors, whose sum is σ = 88625702880. Its totient is φ = 8521777152.

The previous prime is 28117277533. The next prime is 28117277569. The reversal of 28117277568 is 86577271182.

28117277568 is a `hidden beast` number, since 2 + 8 + 1 + 1 + 7 + 2 + 77 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28117277569) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145685280 + ... + 145685472.

Almost surely, 2^28117277568 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 28117277568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44312851440).

28117277568 is an abundant number, since it is smaller than the sum of its proper divisors (60508425312).

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

28117277568 is a wasteful number, since it uses less digits than its factorization.

28117277568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 431 counting only the distinct ones).

The product of its digits is 2634240, while the sum is 54.

The spelling of 28117277568 in words is "twenty-eight billion, one hundred seventeen million, two hundred seventy-seven thousand, five hundred sixty-eight".