32004042728 has 64 divisors (see below), whose sum is σ = 70321305600. Its totient is φ = 13368430080.

The previous prime is 32004042701. The next prime is 32004042731. The reversal of 32004042728 is 82724040023.

It is a junction number, because it is equal to n+sod(n) for n = 32004042694 and 32004042703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2558393 + ... + 2570871.

It is an arithmetic number, because the mean of its divisors is an integer number (1098770400).

Almost surely, 2^32004042728 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 32004042728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35160652800).

32004042728 is an abundant number, since it is smaller than the sum of its proper divisors (38317262872).

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

32004042728 is a wasteful number, since it uses less digits than its factorization.

32004042728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13650 (or 13646 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The spelling of 32004042728 in words is "thirty-two billion, four million, forty-two thousand, seven hundred twenty-eight".