28511157168 has 240 divisors, whose sum is σ = 90132624000. Its totient is φ = 8622671616.

The previous prime is 28511157149. The next prime is 28511157173. The reversal of 28511157168 is 86175111582.

28511157168 is a `hidden beast` number, since 2 + 8 + 5 + 1 + 11 + 571 + 68 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 4304163 + ... + 4310781.

It is an arithmetic number, because the mean of its divisors is an integer number (375552600).

Almost surely, 2^28511157168 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 28511157168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45066312000).

28511157168 is an abundant number, since it is smaller than the sum of its proper divisors (61621466832).

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

28511157168 is a wasteful number, since it uses less digits than its factorization.

28511157168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6721 (or 6696 counting only the distinct ones).

The product of its digits is 134400, while the sum is 45.

The spelling of 28511157168 in words is "twenty-eight billion, five hundred eleven million, one hundred fifty-seven thousand, one hundred sixty-eight".