28169249996160 has 2304 divisors, whose sum is σ = 124310470901760. Its totient is φ = 5751865147392.

The previous prime is 28169249996099. The next prime is 28169249996161. The reversal of 28169249996160 is 6169994296182.

28169249996160 is a `hidden beast` number, since 2 + 8 + 16 + 9 + 2 + 499 + 9 + 61 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28169249996161) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 37211690502 + ... + 37211691258.

It is an arithmetic number, because the mean of its divisors is an integer number (53954197440).

Almost surely, 2^{28169249996160} is an apocalyptic number.

28169249996160 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 28169249996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62155235450880).

28169249996160 is an abundant number, since it is smaller than the sum of its proper divisors (96141220905600).

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

28169249996160 is a wasteful number, since it uses less digits than its factorization.

28169249996160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 181398528, while the sum is 72.

The spelling of 28169249996160 in words is "twenty-eight trillion, one hundred sixty-nine billion, two hundred forty-nine million, nine hundred ninety-six thousand, one hundred sixty".