28641134592 has 288 divisors, whose sum is σ = 95277873600. Its totient is φ = 8119222272.

The previous prime is 28641134579. The next prime is 28641134633. The reversal of 28641134592 is 29543114682.

28641134592 is a `hidden beast` number, since 2 + 8 + 6 + 41 + 13 + 4 + 592 = 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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17933538 + ... + 17935134.

It is an arithmetic number, because the mean of its divisors is an integer number (330825950).

Almost surely, 2^28641134592 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 28641134592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47638936800).

28641134592 is an abundant number, since it is smaller than the sum of its proper divisors (66636739008).

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

28641134592 is a wasteful number, since it uses less digits than its factorization.

28641134592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1748 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 28641134592 in words is "twenty-eight billion, six hundred forty-one million, one hundred thirty-four thousand, five hundred ninety-two".