28170899351712 has 1536 divisors, whose sum is σ = 100041661440000. Its totient is φ = 7627851399168.

The previous prime is 28170899351701. The next prime is 28170899351729. The reversal of 28170899351712 is 21715399807182.

28170899351712 is a `hidden beast` number, since 2 + 8 + 17 + 0 + 8 + 9 + 93 + 517 + 12 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 28170899351712.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 25773923838 + ... + 25773924930.

It is an arithmetic number, because the mean of its divisors is an integer number (65131290000).

Almost surely, 2^{28170899351712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28170899351712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50020830720000).

28170899351712 is an abundant number, since it is smaller than the sum of its proper divisors (71870762088288).

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

28170899351712 is a wasteful number, since it uses less digits than its factorization.

28170899351712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 63.

The spelling of 28170899351712 in words is "twenty-eight trillion, one hundred seventy billion, eight hundred ninety-nine million, three hundred fifty-one thousand, seven hundred twelve".