32788255808 has 224 divisors, whose sum is σ = 84439646208. Its totient is φ = 12262348800.

The previous prime is 32788255789. The next prime is 32788255813. The reversal of 32788255808 is 80855288723.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

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 31 ways as a sum of consecutive naturals, for example, 12274313 + ... + 12276983.

Almost surely, 2^32788255808 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 32788255808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42219823104).

32788255808 is an abundant number, since it is smaller than the sum of its proper divisors (51651390400).

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

32788255808 is a wasteful number, since it uses less digits than its factorization.

32788255808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801 (or 2791 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 56.

The spelling of 32788255808 in words is "thirty-two billion, seven hundred eighty-eight million, two hundred fifty-five thousand, eight hundred eight".