28360856160000 has 2880 divisors, whose sum is σ = 135810986572800. Its totient is φ = 5667397632000.

The previous prime is 28360856159963. The next prime is 28360856160029. The reversal of 28360856160000 is 6165806382.

28360856160000 is a `hidden beast` number, since 2 + 8 + 36 + 0 + 8 + 5 + 6 + 1 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 319 ways as a sum of consecutive naturals, for example, 7469278102 + ... + 7469281898.

It is an arithmetic number, because the mean of its divisors is an integer number (47156592560).

Almost surely, 2^{28360856160000} is an apocalyptic number.

28360856160000 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 28360856160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67905493286400).

28360856160000 is an abundant number, since it is smaller than the sum of its proper divisors (107450130412800).

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

28360856160000 is a wasteful number, since it uses less digits than its factorization.

28360856160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3881 (or 3846 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 28360856160000 in words is "twenty-eight trillion, three hundred sixty billion, eight hundred fifty-six million, one hundred sixty thousand".