28084429133568 has 360 divisors, whose sum is σ = 84560842304400. Its totient is φ = 9270118711296.

The previous prime is 28084429133479. The next prime is 28084429133581. The reversal of 28084429133568 is 86533192448082.

28084429133568 is a `hidden beast` number, since 2 + 8 + 0 + 8 + 4 + 4 + 291 + 335 + 6 + 8 = 666.

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 39 ways as a sum of consecutive naturals, for example, 6009933280 + ... + 6009937952.

Almost surely, 2^{28084429133568} 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 28084429133568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42280421152200).

28084429133568 is an abundant number, since it is smaller than the sum of its proper divisors (56476413170832).

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

28084429133568 is a wasteful number, since it uses less digits than its factorization.

28084429133568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7469 (or 7446 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 28084429133568 in words is "twenty-eight trillion, eighty-four billion, four hundred twenty-nine million, one hundred thirty-three thousand, five hundred sixty-eight".