28360203116544 has 336 divisors, whose sum is σ = 91072464747264. Its totient is φ = 8444716646400.

The previous prime is 28360203116507. The next prime is 28360203116569. The reversal of 28360203116544 is 44561130206382.

28360203116544 is a `hidden beast` number, since 2 + 8 + 3 + 60 + 2 + 0 + 31 + 16 + 544 = 666.

It is a super-2 number, since 2×28360203116544² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 28360203116544.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 29235139 + ... + 30189629.

It is an arithmetic number, because the mean of its divisors is an integer number (271049002224).

Almost surely, 2^{28360203116544} is an apocalyptic number.

28360203116544 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 28360203116544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45536232373632).

28360203116544 is an abundant number, since it is smaller than the sum of its proper divisors (62712261630720).

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

28360203116544 is a wasteful number, since it uses less digits than its factorization.

28360203116544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954567 (or 954540 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 28360203116544 in words is "twenty-eight trillion, three hundred sixty billion, two hundred three million, one hundred sixteen thousand, five hundred forty-four".