28843134566400 has 1440 divisors, whose sum is σ = 132120570408960. Its totient is φ = 5993201664000.

The previous prime is 28843134566387. The next prime is 28843134566419. The reversal of 28843134566400 is 466543134882.

28843134566400 is a `hidden beast` number, since 2 + 8 + 8 + 4 + 3 + 1 + 34 + 566 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 851541465 + ... + 851575335.

Almost surely, 2^{28843134566400} is an apocalyptic number.

28843134566400 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 28843134566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66060285204480).

28843134566400 is an abundant number, since it is smaller than the sum of its proper divisors (103277435842560).

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

28843134566400 is a wasteful number, since it uses less digits than its factorization.

28843134566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33936 (or 33899 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 28843134566400 in words is "twenty-eight trillion, eight hundred forty-three billion, one hundred thirty-four million, five hundred sixty-six thousand, four hundred".