28882932535296 has 2496 divisors, whose sum is σ = 110171939125248. Its totient is φ = 7373517225984.

The previous prime is 28882932535291. The next prime is 28882932535337. The reversal of 28882932535296 is 69253523928882.

28882932535296 is a `hidden beast` number, since 2 + 8 + 8 + 8 + 2 + 9 + 325 + 3 + 5 + 296 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (28882932535291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 269933948875 + ... + 269933948981.

It is an arithmetic number, because the mean of its divisors is an integer number (44139398688).

Almost surely, 2^{28882932535296} 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 28882932535296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55085969562624).

28882932535296 is an abundant number, since it is smaller than the sum of its proper divisors (81289006589952).

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

28882932535296 is a wasteful number, since it uses less digits than its factorization.

28882932535296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 232 counting only the distinct ones).

The product of its digits is 895795200, while the sum is 72.

The spelling of 28882932535296 in words is "twenty-eight trillion, eight hundred eighty-two billion, nine hundred thirty-two million, five hundred thirty-five thousand, two hundred ninety-six".