82982432 has 48 divisors (see below), whose sum is σ = 180069120. Its totient is φ = 37400832.

The previous prime is 82982377. The next prime is 82982441. The reversal of 82982432 is 23428928.

It is an unprimeable number.

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, 15569 + ... + 20207.

It is an arithmetic number, because the mean of its divisors is an integer number (3751440).

Almost surely, 2^82982432 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 82982432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90034560).

82982432 is an abundant number, since it is smaller than the sum of its proper divisors (97086688).

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

82982432 is a wasteful number, since it uses less digits than its factorization.

82982432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4705 (or 4697 counting only the distinct ones).

The product of its digits is 55296, while the sum is 38.

The square root of 82982432 is about 9109.4693588595. The cubic root of 82982432 is about 436.1762887258.

The spelling of 82982432 in words is "eighty-two million, nine hundred eighty-two thousand, four hundred thirty-two".