32126288128 has 144 divisors (see below), whose sum is σ = 73510416000. Its totient is φ = 13870039040.

The previous prime is 32126288119. The next prime is 32126288141. The reversal of 32126288128 is 82188262123.

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 15 ways as a sum of consecutive naturals, for example, 9648768 + ... + 9652096.

It is an arithmetic number, because the mean of its divisors is an integer number (510489000).

Almost surely, 2^32126288128 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 32126288128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36755208000).

32126288128 is an abundant number, since it is smaller than the sum of its proper divisors (41384127872).

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

32126288128 is a wasteful number, since it uses less digits than its factorization.

32126288128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3528 (or 3514 counting only the distinct ones).

The product of its digits is 147456, while the sum is 43.

The spelling of 32126288128 in words is "thirty-two billion, one hundred twenty-six million, two hundred eighty-eight thousand, one hundred twenty-eight".