28665585936 has 320 divisors, whose sum is σ = 90931680000. Its totient is φ = 8591671296.

The previous prime is 28665585917. The next prime is 28665585959. The reversal of 28665585936 is 63958556682.

28665585936 is a `hidden beast` number, since 28 + 6 + 6 + 558 + 59 + 3 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57445815 + ... + 57446313.

It is an arithmetic number, because the mean of its divisors is an integer number (284161500).

Almost surely, 2^28665585936 is an apocalyptic number.

28665585936 is a gapful number since it is divisible by the number (26) 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 28665585936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45465840000).

28665585936 is an abundant number, since it is smaller than the sum of its proper divisors (62266094064).

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

28665585936 is a wasteful number, since it uses less digits than its factorization.

28665585936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 763 counting only the distinct ones).

The product of its digits is 93312000, while the sum is 63.

The spelling of 28665585936 in words is "twenty-eight billion, six hundred sixty-five million, five hundred eighty-five thousand, nine hundred thirty-six".