28600432896 has 432 divisors, whose sum is σ = 93113193600. Its totient is φ = 7760019456.

The previous prime is 28600432871. The next prime is 28600432897. The reversal of 28600432896 is 69823400682.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (28600432897) by changing a digit.

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, 79666765 + ... + 79667123.

It is an arithmetic number, because the mean of its divisors is an integer number (215539800).

Almost surely, 2^28600432896 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 28600432896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46556596800).

28600432896 is an abundant number, since it is smaller than the sum of its proper divisors (64512760704).

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

28600432896 is a wasteful number, since it uses less digits than its factorization.

28600432896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 28600432896 in words is "twenty-eight billion, six hundred million, four hundred thirty-two thousand, eight hundred ninety-six".