32982432 has 48 divisors (see below), whose sum is σ = 98949312. Its totient is φ = 9423360.

The previous prime is 32982427. The next prime is 32982449. The reversal of 32982432 is 23428923.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 32982393 and 32982402.

It is an unprimeable number.

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, 23869 + ... + 25212.

It is an arithmetic number, because the mean of its divisors is an integer number (2061444).

Almost surely, 2^32982432 is an apocalyptic number.

32982432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

32982432 is an abundant number, since it is smaller than the sum of its proper divisors (65966880).

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

32982432 is a wasteful number, since it uses less digits than its factorization.

32982432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49101 (or 49093 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 32982432 is about 5743.0333448449. The cubic root of 32982432 is about 320.6965037414.

The spelling of 32982432 in words is "thirty-two million, nine hundred eighty-two thousand, four hundred thirty-two".