28279526897664 has 576 divisors, whose sum is σ = 94348705651200. Its totient is φ = 7993184550912.

The previous prime is 28279526897663. The next prime is 28279526897683. The reversal of 28279526897664 is 46679862597282.

28279526897664 is a `hidden beast` number, since 2 + 8 + 2 + 7 + 9 + 526 + 89 + 7 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28279526897663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12474426259 + ... + 12474428525.

It is an arithmetic number, because the mean of its divisors is an integer number (163799836200).

Almost surely, 2^{28279526897664} is an apocalyptic number.

28279526897664 is a gapful number since it is divisible by the number (24) 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 28279526897664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47174352825600).

28279526897664 is an abundant number, since it is smaller than the sum of its proper divisors (66069178753536).

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

28279526897664 is a wasteful number, since it uses less digits than its factorization.

28279526897664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3298 (or 3275 counting only the distinct ones).

The product of its digits is 8778792960, while the sum is 81.

The spelling of 28279526897664 in words is "twenty-eight trillion, two hundred seventy-nine billion, five hundred twenty-six million, eight hundred ninety-seven thousand, six hundred sixty-four".