28999395532800 has 3360 divisors, whose sum is σ = 136206565507584. Its totient is φ = 5924192256000.

The previous prime is 28999395532721. The next prime is 28999395532817. The reversal of 28999395532800 is 823559399982.

28999395532800 is a `hidden beast` number, since 2 + 8 + 9 + 9 + 9 + 3 + 9 + 5 + 532 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 93245644645 + ... + 93245644955.

Almost surely, 2^{28999395532800} is an apocalyptic number.

28999395532800 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 28999395532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68103282753792).

28999395532800 is an abundant number, since it is smaller than the sum of its proper divisors (107207169974784).

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

28999395532800 is a wasteful number, since it uses less digits than its factorization.

28999395532800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 377913600, while the sum is 72.

The spelling of 28999395532800 in words is "twenty-eight trillion, nine hundred ninety-nine billion, three hundred ninety-five million, five hundred thirty-two thousand, eight hundred".