32128896 has 64 divisors (see below), whose sum is σ = 88128000. Its totient is φ = 10360320.

The previous prime is 32128891. The next prime is 32128919. The reversal of 32128896 is 69882123.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32128891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10555 + ... + 13253.

It is an arithmetic number, because the mean of its divisors is an integer number (1377000).

Almost surely, 2^32128896 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 32128896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44064000).

32128896 is an abundant number, since it is smaller than the sum of its proper divisors (55999104).

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

32128896 is a wasteful number, since it uses less digits than its factorization.

32128896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2747 (or 2735 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 32128896 is about 5668.2357043440. The cubic root of 32128896 is about 317.9059094282.

The spelling of 32128896 in words is "thirty-two million, one hundred twenty-eight thousand, eight hundred ninety-six".