28857688992 has 192 divisors, whose sum is σ = 93192422400. Its totient is φ = 8614045440.

The previous prime is 28857688987. The next prime is 28857688997. The reversal of 28857688992 is 29988675882.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28857688987) and next prime (28857688997).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 28857688992.

It is not an unprimeable number, because it can be changed into a prime (28857688997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 614109 + ... + 659427.

It is an arithmetic number, because the mean of its divisors is an integer number (485377200).

Almost surely, 2^28857688992 is an apocalyptic number.

28857688992 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28857688992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46596211200).

28857688992 is an abundant number, since it is smaller than the sum of its proper divisors (64334733408).

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

28857688992 is a wasteful number, since it uses less digits than its factorization.

28857688992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45416 (or 45402 counting only the distinct ones).

The product of its digits is 278691840, while the sum is 72.

The spelling of 28857688992 in words is "twenty-eight billion, eight hundred fifty-seven million, six hundred eighty-eight thousand, nine hundred ninety-two".