28167340800 has 216 divisors, whose sum is σ = 98427356496. Its totient is φ = 7069368320.

The previous prime is 28167340787. The next prime is 28167340819. The reversal of 28167340800 is 804376182.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 283252 + ... + 369548.

It is an arithmetic number, because the mean of its divisors is an integer number (455682206).

Almost surely, 2^28167340800 is an apocalyptic number.

28167340800 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 28167340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49213678248).

28167340800 is an abundant number, since it is smaller than the sum of its proper divisors (70260015696).

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

28167340800 is a wasteful number, since it uses less digits than its factorization.

28167340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86343 (or 86324 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 28167340800 in words is "twenty-eight billion, one hundred sixty-seven million, three hundred forty thousand, eight hundred".