32250584128 has 112 divisors (see below), whose sum is σ = 77528098944. Its totient is φ = 12994191360.

The previous prime is 32250584123. The next prime is 32250584131. The reversal of 32250584128 is 82148505223.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (32250584123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9236463 + ... + 9239953.

Almost surely, 2^32250584128 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 32250584128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38764049472).

32250584128 is an abundant number, since it is smaller than the sum of its proper divisors (45277514816).

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

32250584128 is a wasteful number, since it uses less digits than its factorization.

32250584128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4740 (or 4730 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The spelling of 32250584128 in words is "thirty-two billion, two hundred fifty million, five hundred eighty-four thousand, one hundred twenty-eight".