32445923328 has 768 divisors, whose sum is σ = 122807347200. Its totient is φ = 8281128960.

The previous prime is 32445923273. The next prime is 32445923329. The reversal of 32445923328 is 82332954423.

32445923328 is a `hidden beast` number, since 3 + 2 + 4 + 4 + 592 + 33 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32445923329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1046642673 + ... + 1046642703.

It is an arithmetic number, because the mean of its divisors is an integer number (159905400).

Almost surely, 2^32445923328 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 32445923328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61403673600).

32445923328 is an abundant number, since it is smaller than the sum of its proper divisors (90361423872).

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

32445923328 is an equidigital number, since it uses as much as digits as its factorization.

32445923328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 56 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The spelling of 32445923328 in words is "thirty-two billion, four hundred forty-five million, nine hundred twenty-three thousand, three hundred twenty-eight".