28816596357120 has 3744 divisors, whose sum is σ = 129880799879040. Its totient is φ = 6006578872320.

The previous prime is 28816596357077. The next prime is 28816596357151. The reversal of 28816596357120 is 2175369561882.

28816596357120 is a `hidden beast` number, since 2 + 8 + 8 + 1 + 6 + 59 + 6 + 3 + 571 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

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 287 ways as a sum of consecutive naturals, for example, 297078312912 + ... + 297078313008.

Almost surely, 2^{28816596357120} is an apocalyptic number.

28816596357120 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 28816596357120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64940399939520).

28816596357120 is an abundant number, since it is smaller than the sum of its proper divisors (101064203521920).

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

28816596357120 is a wasteful number, since it uses less digits than its factorization.

28816596357120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 28816596357120 in words is "twenty-eight trillion, eight hundred sixteen billion, five hundred ninety-six million, three hundred fifty-seven thousand, one hundred twenty".