28134158976 has 768 divisors, whose sum is σ = 110991928320. Its totient is φ = 6867763200.

The previous prime is 28134158953. The next prime is 28134159023. The reversal of 28134158976 is 67985143182.

28134158976 is a `hidden beast` number, since 2 + 8 + 13 + 41 + 589 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40714791 + ... + 40715481.

It is an arithmetic number, because the mean of its divisors is an integer number (144520740).

Almost surely, 2^28134158976 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 28134158976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55495964160).

28134158976 is an abundant number, since it is smaller than the sum of its proper divisors (82857769344).

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

28134158976 is a wasteful number, since it uses less digits than its factorization.

28134158976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 731 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 28134158976 in words is "twenty-eight billion, one hundred thirty-four million, one hundred fifty-eight thousand, nine hundred seventy-six".