28099814400000 has 3024 divisors, whose sum is σ = 125183706167520. Its totient is φ = 6038323200000.

The previous prime is 28099814399999. The next prime is 28099814400067. The reversal of 28099814400000 is 441899082.

28099814400000 is a `hidden beast` number, since 2 + 80 + 99 + 81 + 4 + 400 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 214502399935 + ... + 214502400065.

It is an arithmetic number, because the mean of its divisors is an integer number (41396728230).

Almost surely, 2^{28099814400000} is an apocalyptic number.

28099814400000 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 28099814400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62591853083760).

28099814400000 is an abundant number, since it is smaller than the sum of its proper divisors (97083891767520).

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

28099814400000 is an equidigital number, since it uses as much as digits as its factorization.

28099814400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 28099814400000 in words is "twenty-eight trillion, ninety-nine billion, eight hundred fourteen million, four hundred thousand".