28084068660096 has 192 divisors, whose sum is σ = 80945083377600. Its totient is φ = 9346280878080.

The previous prime is 28084068660083. The next prime is 28084068660133. The reversal of 28084068660096 is 69006686048082.

28084068660096 is a `hidden beast` number, since 2 + 8 + 0 + 8 + 406 + 86 + 60 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2083844910 + ... + 2083858386.

It is an arithmetic number, because the mean of its divisors is an integer number (421588975925).

Almost surely, 2^{28084068660096} 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 28084068660096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40472541688800).

28084068660096 is an abundant number, since it is smaller than the sum of its proper divisors (52861014717504).

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

28084068660096 is a wasteful number, since it uses less digits than its factorization.

28084068660096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16277 (or 16262 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 28084068660096 in words is "twenty-eight trillion, eighty-four billion, sixty-eight million, six hundred sixty thousand, ninety-six".