82585328 has 40 divisors (see below), whose sum is σ = 183321600. Its totient is φ = 35305920.

The previous prime is 82585247. The next prime is 82585367. The reversal of 82585328 is 82358528.

It is a congruent number.

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, 66473 + ... + 67703.

It is an arithmetic number, because the mean of its divisors is an integer number (4583040).

Almost surely, 2^82585328 is an apocalyptic number.

It is an amenable number.

82585328 is an abundant number, since it is smaller than the sum of its proper divisors (100736272).

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

82585328 is a wasteful number, since it uses less digits than its factorization.

82585328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845 (or 1839 counting only the distinct ones).

The product of its digits is 153600, while the sum is 41.

The square root of 82585328 is about 9087.6470001866. The cubic root of 82585328 is about 435.4794168282.

The spelling of 82585328 in words is "eighty-two million, five hundred eighty-five thousand, three hundred twenty-eight".