28998915840000 has 960 divisors, whose sum is σ = 108204403507200. Its totient is φ = 7670992896000.

The previous prime is 28998915839921. The next prime is 28998915840107. The reversal of 28998915840000 is 4851989982.

28998915840000 is a `hidden beast` number, since 2 + 8 + 9 + 98 + 91 + 58 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a self number, because there is not a number n which added to its sum of digits gives 28998915840000.

It is a congruent number.

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, 4389116697 + ... + 4389123303.

It is an arithmetic number, because the mean of its divisors is an integer number (112712920320).

Almost surely, 2^{28998915840000} is an apocalyptic number.

28998915840000 is a gapful number since it is divisible by the number (20) 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 28998915840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54102201753600).

28998915840000 is an abundant number, since it is smaller than the sum of its proper divisors (79205487667200).

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

28998915840000 is an equidigital number, since it uses as much as digits as its factorization.

28998915840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6785 (or 6744 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 63.

The spelling of 28998915840000 in words is "twenty-eight trillion, nine hundred ninety-eight billion, nine hundred fifteen million, eight hundred forty thousand".