28168573811840 has 256 divisors, whose sum is σ = 84442309021440. Its totient is φ = 8729062195200.

The previous prime is 28168573811827. The next prime is 28168573811849. The reversal of 28168573811840 is 4811837586182.

It is not an unprimeable number, because it can be changed into a prime (28168573811849) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6873410 + ... + 10177470.

It is an arithmetic number, because the mean of its divisors is an integer number (329852769615).

Almost surely, 2^{28168573811840} is an apocalyptic number.

28168573811840 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 28168573811840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42221154510720).

28168573811840 is an abundant number, since it is smaller than the sum of its proper divisors (56273735209600).

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

28168573811840 is a wasteful number, since it uses less digits than its factorization.

28168573811840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3304271 (or 3304259 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 62.

The spelling of 28168573811840 in words is "twenty-eight trillion, one hundred sixty-eight billion, five hundred seventy-three million, eight hundred eleven thousand, eight hundred forty".