28806846868800 has 10080 divisors, whose sum is σ = 160684629811200. Its totient is φ = 4891041792000.

The previous prime is 28806846868753. The next prime is 28806846868817. The reversal of 28806846868800 is 886864860882.

28806846868800 is a `hidden beast` number, since 2 + 8 + 80 + 6 + 8 + 468 + 6 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (10080).

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 1439 ways as a sum of consecutive naturals, for example, 929253124785 + ... + 929253124815.

Almost surely, 2^{28806846868800} is an apocalyptic number.

28806846868800 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 28806846868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80342314905600).

28806846868800 is an abundant number, since it is smaller than the sum of its proper divisors (131877782942400).

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

28806846868800 is a wasteful number, since it uses less digits than its factorization.

28806846868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 452984832, while the sum is 72.

The spelling of 28806846868800 in words is "twenty-eight trillion, eight hundred six billion, eight hundred forty-six million, eight hundred sixty-eight thousand, eight hundred".