28536874781184 has 1680 divisors, whose sum is σ = 109856888396640. Its totient is φ = 7318587064320.

The previous prime is 28536874781159. The next prime is 28536874781249. The reversal of 28536874781184 is 48118747863582.

28536874781184 is a `hidden beast` number, since 2 + 8 + 5 + 3 + 68 + 7 + 478 + 11 + 84 = 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 polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 16697994922 + ... + 16697996630.

It is an arithmetic number, because the mean of its divisors is an integer number (65391004998).

Almost surely, 2^{28536874781184} is an apocalyptic number.

28536874781184 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 28536874781184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54928444198320).

28536874781184 is an abundant number, since it is smaller than the sum of its proper divisors (81320013615456).

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

28536874781184 is an equidigital number, since it uses as much as digits as its factorization.

28536874781184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853 (or 1815 counting only the distinct ones).

The product of its digits is 578027520, while the sum is 72.

The spelling of 28536874781184 in words is "twenty-eight trillion, five hundred thirty-six billion, eight hundred seventy-four million, seven hundred eighty-one thousand, one hundred eighty-four".