32189952 has 80 divisors (see below), whose sum is σ = 90351360. Its totient is φ = 10156032.

The previous prime is 32189947. The next prime is 32189953. The reversal of 32189952 is 25998123.

It is a self number, because there is not a number n which added to its sum of digits gives 32189952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32189953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28633 + ... + 29735.

It is an arithmetic number, because the mean of its divisors is an integer number (1129392).

Almost surely, 2^32189952 is an apocalyptic number.

32189952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32189952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45175680).

32189952 is an abundant number, since it is smaller than the sum of its proper divisors (58161408).

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

32189952 is a wasteful number, since it uses less digits than its factorization.

32189952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1127 counting only the distinct ones).

The product of its digits is 38880, while the sum is 39.

The square root of 32189952 is about 5673.6189508990. The cubic root of 32189952 is about 318.1071590125.

The spelling of 32189952 in words is "thirty-two million, one hundred eighty-nine thousand, nine hundred fifty-two".