32881128 has 128 divisors (see below), whose sum is σ = 103161600. Its totient is φ = 8515584.

The previous prime is 32881117. The next prime is 32881141. The reversal of 32881128 is 82118823.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82626 + ... + 83022.

It is an arithmetic number, because the mean of its divisors is an integer number (805950).

Almost surely, 2^32881128 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 32881128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51580800).

32881128 is an abundant number, since it is smaller than the sum of its proper divisors (70280472).

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

32881128 is a wasteful number, since it uses less digits than its factorization.

32881128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 455 counting only the distinct ones).

The product of its digits is 6144, while the sum is 33.

The square root of 32881128 is about 5734.2068326840. The cubic root of 32881128 is about 320.3678322321.

The spelling of 32881128 in words is "thirty-two million, eight hundred eighty-one thousand, one hundred twenty-eight".