28116244316160 has 5760 divisors, whose sum is σ = 145425436176384. Its totient is φ = 5014542090240.

The previous prime is 28116244316159. The next prime is 28116244316203. The reversal of 28116244316160 is 6161344261182.

28116244316160 is a `hidden beast` number, since 2 + 8 + 1 + 1 + 6 + 24 + 4 + 3 + 1 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 338749931479 + ... + 338749931561.

Almost surely, 2^{28116244316160} is an apocalyptic number.

28116244316160 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 28116244316160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72712718088192).

28116244316160 is an abundant number, since it is smaller than the sum of its proper divisors (117309191860224).

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

28116244316160 is a wasteful number, since it uses less digits than its factorization.

28116244316160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 28116244316160 in words is "twenty-eight trillion, one hundred sixteen billion, two hundred forty-four million, three hundred sixteen thousand, one hundred sixty".