28608785891712 has 1536 divisors, whose sum is σ = 102945013516800. Its totient is φ = 7812767416320.

The previous prime is 28608785891711. The next prime is 28608785891857. The reversal of 28608785891712 is 21719858780682.

28608785891712 is a `hidden beast` number, since 2 + 8 + 608 + 7 + 8 + 5 + 8 + 9 + 1 + 7 + 1 + 2 = 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 (28608785891711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41402005287 + ... + 41402005977.

It is an arithmetic number, because the mean of its divisors is an integer number (67021493175).

Almost surely, 2^{28608785891712} 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 28608785891712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51472506758400).

28608785891712 is an abundant number, since it is smaller than the sum of its proper divisors (74336227625088).

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

28608785891712 is a wasteful number, since it uses less digits than its factorization.

28608785891712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 72.

The spelling of 28608785891712 in words is "twenty-eight trillion, six hundred eight billion, seven hundred eighty-five million, eight hundred ninety-one thousand, seven hundred twelve".