28606338288 has 480 divisors, whose sum is σ = 95543884800. Its totient is φ = 7896268800.

The previous prime is 28606338281. The next prime is 28606338289. The reversal of 28606338288 is 88283360682.

28606338288 is a `hidden beast` number, since 2 + 8 + 606 + 3 + 3 + 8 + 28 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28606338281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119691673 + ... + 119691911.

It is an arithmetic number, because the mean of its divisors is an integer number (199049760).

Almost surely, 2^28606338288 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 28606338288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47771942400).

28606338288 is an abundant number, since it is smaller than the sum of its proper divisors (66937546512).

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

28606338288 is a wasteful number, since it uses less digits than its factorization.

28606338288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 28606338288 in words is "twenty-eight billion, six hundred six million, three hundred thirty-eight thousand, two hundred eighty-eight".