28112644117584 has 960 divisors, whose sum is σ = 94524750028800. Its totient is φ = 8022405888000.

The previous prime is 28112644117583. The next prime is 28112644117601. The reversal of 28112644117584 is 48571144621182.

28112644117584 is a `hidden beast` number, since 2 + 8 + 1 + 1 + 2 + 6 + 4 + 41 + 17 + 584 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 28112644117584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28112644117583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6316026559 + ... + 6316031009.

It is an arithmetic number, because the mean of its divisors is an integer number (98463281280).

Almost surely, 2^{28112644117584} is an apocalyptic number.

28112644117584 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 28112644117584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47262375014400).

28112644117584 is an abundant number, since it is smaller than the sum of its proper divisors (66412105911216).

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

28112644117584 is a wasteful number, since it uses less digits than its factorization.

28112644117584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4686 (or 4668 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The spelling of 28112644117584 in words is "twenty-eight trillion, one hundred twelve billion, six hundred forty-four million, one hundred seventeen thousand, five hundred eighty-four".