28282396116096 has 256 divisors, whose sum is σ = 87119525836800. Its totient is φ = 9015717934080.

The previous prime is 28282396116071. The next prime is 28282396116263. The reversal of 28282396116096 is 69061169328282.

28282396116096 is a `hidden beast` number, since 2 + 8 + 2 + 8 + 2 + 3 + 9 + 6 + 11 + 609 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 415449741 + ... + 415517811.

It is an arithmetic number, because the mean of its divisors is an integer number (340310647800).

Almost surely, 2^{28282396116096} 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 28282396116096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43559762918400).

28282396116096 is an abundant number, since it is smaller than the sum of its proper divisors (58837129720704).

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

28282396116096 is a wasteful number, since it uses less digits than its factorization.

28282396116096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73344 (or 73326 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

It can be divided in two parts, 2828239 and 6116096, that added together give a triangular number (8944335 = T₄₂₂₉).

The spelling of 28282396116096 in words is "twenty-eight trillion, two hundred eighty-two billion, three hundred ninety-six million, one hundred sixteen thousand, ninety-six".