28317158400000 has 2016 divisors, whose sum is σ = 107012026479456. Its totient is φ = 6632243200000.

The previous prime is 28317158399993. The next prime is 28317158400053. The reversal of 28317158400000 is 485171382.

It is a super-2 number, since 2×28317158400000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 690662399980 + ... + 690662400020.

It is an arithmetic number, because the mean of its divisors is an integer number (53081362341).

Almost surely, 2^{28317158400000} is an apocalyptic number.

28317158400000 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 28317158400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53506013239728).

28317158400000 is an abundant number, since it is smaller than the sum of its proper divisors (78694868079456).

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

28317158400000 is an frugal number, since it uses more digits than its factorization.

28317158400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The spelling of 28317158400000 in words is "twenty-eight trillion, three hundred seventeen billion, one hundred fifty-eight million, four hundred thousand".