32001431328 has 144 divisors (see below), whose sum is σ = 94666735800. Its totient is φ = 10241925120.

The previous prime is 32001431327. The next prime is 32001431339. The reversal of 32001431328 is 82313410023.

32001431328 is a `hidden beast` number, since 3 + 200 + 1 + 431 + 3 + 28 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26905184784 + 5096246544 = 164028^2 + 71388^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (32001431327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1501128 + ... + 1522296.

Almost surely, 2^32001431328 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 32001431328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47333367900).

32001431328 is an abundant number, since it is smaller than the sum of its proper divisors (62665304472).

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

32001431328 is a wasteful number, since it uses less digits than its factorization.

32001431328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21395 (or 21384 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 32001431328 in words is "thirty-two billion, one million, four hundred thirty-one thousand, three hundred twenty-eight".