28005269280768 has 384 divisors, whose sum is σ = 89532105062400. Its totient is φ = 8598451027968.

The previous prime is 28005269280743. The next prime is 28005269280827. The reversal of 28005269280768 is 86708296250082.

28005269280768 is a `hidden beast` number, since 2 + 80 + 0 + 526 + 9 + 28 + 0 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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, 335660305 + ... + 335743727.

It is an arithmetic number, because the mean of its divisors is an integer number (233156523600).

Almost surely, 2^{28005269280768} 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 28005269280768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44766052531200).

28005269280768 is an abundant number, since it is smaller than the sum of its proper divisors (61526835781632).

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

28005269280768 is a wasteful number, since it uses less digits than its factorization.

28005269280768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83934 (or 83908 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 28005269280768 in words is "twenty-eight trillion, five billion, two hundred sixty-nine million, two hundred eighty thousand, seven hundred sixty-eight".