32004128 has 48 divisors (see below), whose sum is σ = 68584320. Its totient is φ = 14612736.

The previous prime is 32004079. The next prime is 32004131. The reversal of 32004128 is 82140023.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44153 + ... + 44871.

It is an arithmetic number, because the mean of its divisors is an integer number (1428840).

Almost surely, 2^32004128 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 32004128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34292160).

32004128 is an abundant number, since it is smaller than the sum of its proper divisors (36580192).

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

32004128 is a wasteful number, since it uses less digits than its factorization.

32004128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 32004128 is about 5657.2191048253. The cubic root of 32004128 is about 317.4938614557.

The spelling of 32004128 in words is "thirty-two million, four thousand, one hundred twenty-eight".