32428968 has 96 divisors (see below), whose sum is σ = 96079200. Its totient is φ = 9060480.

The previous prime is 32428967. The next prime is 32428973. The reversal of 32428968 is 86982423.

It is not an unprimeable number, because it can be changed into a prime (32428967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37323 + ... + 38181.

It is an arithmetic number, because the mean of its divisors is an integer number (1000825).

Almost surely, 2^32428968 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 32428968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48039600).

32428968 is an abundant number, since it is smaller than the sum of its proper divisors (63650232).

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

32428968 is a wasteful number, since it uses less digits than its factorization.

32428968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 888 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 32428968 is about 5694.6437992205. The cubic root of 32428968 is about 318.8925520013.

It can be divided in two parts, 324 and 28968, that added together give a palindrome (29292).

The spelling of 32428968 in words is "thirty-two million, four hundred twenty-eight thousand, nine hundred sixty-eight".