28165880371200 has 2304 divisors, whose sum is σ = 115307819827200. Its totient is φ = 5967721267200.

The previous prime is 28165880371061. The next prime is 28165880371229. The reversal of 28165880371200 is 217308856182.

It is a super-3 number, since 3×28165880371200³ (a number of 41 digits) contains 333 as substring.

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 191 ways as a sum of consecutive naturals, for example, 64159180581 + ... + 64159181019.

It is an arithmetic number, because the mean of its divisors is an integer number (50046796800).

Almost surely, 2^{28165880371200} is an apocalyptic number.

28165880371200 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 28165880371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57653909913600).

28165880371200 is an abundant number, since it is smaller than the sum of its proper divisors (87141939456000).

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

28165880371200 is a wasteful number, since it uses less digits than its factorization.

28165880371200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 28165880371200 in words is "twenty-eight trillion, one hundred sixty-five billion, eight hundred eighty million, three hundred seventy-one thousand, two hundred".