32982048 has 144 divisors (see below), whose sum is σ = 106142400. Its totient is φ = 9623040.

The previous prime is 32982017. The next prime is 32982073. The reversal of 32982048 is 84028923.

It is a Cunningham number, because it is equal to 5743²-1.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 91693 + ... + 92051.

It is an arithmetic number, because the mean of its divisors is an integer number (737100).

Almost surely, 2^32982048 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 32982048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53071200).

32982048 is an abundant number, since it is smaller than the sum of its proper divisors (73160352).

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

32982048 is a wasteful number, since it uses less digits than its factorization.

32982048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 32982048 is about 5742.9999129375. Note that the first 4 decimals coincide. The cubic root of 32982048 is about 320.6952591603.

The spelling of 32982048 in words is "thirty-two million, nine hundred eighty-two thousand, forty-eight".