28191795984 has 800 divisors, whose sum is σ = 100574812800. Its totient is φ = 7524679680.

The previous prime is 28191795953. The next prime is 28191796007. The reversal of 28191795984 is 48959719182.

28191795984 is a `hidden beast` number, since 28 + 1 + 9 + 17 + 9 + 598 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 290637024 + ... + 290637120.

It is an arithmetic number, because the mean of its divisors is an integer number (125718516).

Almost surely, 2^28191795984 is an apocalyptic number.

28191795984 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 28191795984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50287406400).

28191795984 is an abundant number, since it is smaller than the sum of its proper divisors (72383016816).

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

28191795984 is a wasteful number, since it uses less digits than its factorization.

28191795984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 198 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 63.

The spelling of 28191795984 in words is "twenty-eight billion, one hundred ninety-one million, seven hundred ninety-five thousand, nine hundred eighty-four".