82001448 has 48 divisors (see below), whose sum is σ = 229257600. Its totient is φ = 26451360.

The previous prime is 82001431. The next prime is 82001453. The reversal of 82001448 is 84410028.

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 11 ways as a sum of consecutive naturals, for example, 16138 + ... + 20601.

It is an arithmetic number, because the mean of its divisors is an integer number (4776200).

Almost surely, 2^82001448 is an apocalyptic number.

It is an amenable number.

82001448 is an abundant number, since it is smaller than the sum of its proper divisors (147256152).

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

82001448 is a wasteful number, since it uses less digits than its factorization.

82001448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36782 (or 36775 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 82001448 is about 9055.4650902093. The cubic root of 82001448 is about 434.4507058013.

The spelling of 82001448 in words is "eighty-two million, one thousand, four hundred forty-eight".