28339182038160 has 360 divisors, whose sum is σ = 110719154145600. Its totient is φ = 6477037023744.

The previous prime is 28339182038131. The next prime is 28339182038183. The reversal of 28339182038160 is 6183028193382.

28339182038160 is a `hidden beast` number, since 2 + 83 + 3 + 9 + 182 + 0 + 381 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a junction number, because it is equal to n+sod(n) for n = 28339182038097 and 28339182038106.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 684517141 + ... + 684558539.

It is an arithmetic number, because the mean of its divisors is an integer number (307553205960).

Almost surely, 2^{28339182038160} is an apocalyptic number.

28339182038160 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 28339182038160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55359577072800).

28339182038160 is an abundant number, since it is smaller than the sum of its proper divisors (82379972107440).

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

28339182038160 is a wasteful number, since it uses less digits than its factorization.

28339182038160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60835 (or 60819 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 28339182038160 in words is "twenty-eight trillion, three hundred thirty-nine billion, one hundred eighty-two million, thirty-eight thousand, one hundred sixty".