28168462675584 has 1792 divisors, whose sum is σ = 112698967680000. Its totient is φ = 6929759692800.

The previous prime is 28168462675571. The next prime is 28168462675609. The reversal of 28168462675584 is 48557626486182.

It is a happy number.

28168462675584 is a `hidden beast` number, since 2 + 8 + 1 + 6 + 8 + 4 + 6 + 2 + 67 + 558 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 6689255239 + ... + 6689259449.

Almost surely, 2^{28168462675584} is an apocalyptic number.

28168462675584 is a gapful number since it is divisible by the number (24) 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 28168462675584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56349483840000).

28168462675584 is an abundant number, since it is smaller than the sum of its proper divisors (84530505004416).

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

28168462675584 is an equidigital number, since it uses as much as digits as its factorization.

28168462675584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4294 (or 4253 counting only the distinct ones).

The product of its digits is 1238630400, while the sum is 72.

The spelling of 28168462675584 in words is "twenty-eight trillion, one hundred sixty-eight billion, four hundred sixty-two million, six hundred seventy-five thousand, five hundred eighty-four".