82059328 has 112 divisors (see below), whose sum is σ = 192024000. Its totient is φ = 34449408.

The previous prime is 82059319. The next prime is 82059337. The reversal of 82059328 is 82395028.

It is an interprime number because it is at equal distance from previous prime (82059319) and next prime (82059337).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 458343 + ... + 458521.

It is an arithmetic number, because the mean of its divisors is an integer number (1714500).

Almost surely, 2^82059328 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 82059328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96012000).

82059328 is an abundant number, since it is smaller than the sum of its proper divisors (109964672).

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

82059328 is a wasteful number, since it uses less digits than its factorization.

82059328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 82059328 is about 9058.6603866135. The cubic root of 82059328 is about 434.5528994959.

The spelling of 82059328 in words is "eighty-two million, fifty-nine thousand, three hundred twenty-eight".