28897992864 has 480 divisors, whose sum is σ = 95158457856. Its totient is φ = 8546549760.

The previous prime is 28897992859. The next prime is 28897992883. The reversal of 28897992864 is 46829979882.

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

It is a junction number, because it is equal to n+sod(n) for n = 28897992792 and 28897992801.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 112443424 + ... + 112443680.

Almost surely, 2^28897992864 is an apocalyptic number.

28897992864 is a gapful number since it is divisible by the number (24) 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 28897992864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47579228928).

28897992864 is an abundant number, since it is smaller than the sum of its proper divisors (66260464992).

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

28897992864 is a wasteful number, since it uses less digits than its factorization.

28897992864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 393 counting only the distinct ones).

The product of its digits is 250822656, while the sum is 72.

The spelling of 28897992864 in words is "twenty-eight billion, eight hundred ninety-seven million, nine hundred ninety-two thousand, eight hundred sixty-four".