82265328 has 80 divisors (see below), whose sum is σ = 240654240. Its totient is φ = 26896896.

The previous prime is 82265263. The next prime is 82265353. The reversal of 82265328 is 82356228.

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

It is a junction number, because it is equal to n+sod(n) for n = 82265292 and 82265301.

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 15 ways as a sum of consecutive naturals, for example, 21100 + ... + 24692.

It is an arithmetic number, because the mean of its divisors is an integer number (3008178).

Almost surely, 2^82265328 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 82265328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120327120).

82265328 is an abundant number, since it is smaller than the sum of its proper divisors (158388912).

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

82265328 is a wasteful number, since it uses less digits than its factorization.

82265328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3663 (or 3651 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 82265328 is about 9070.0235942361. The cubic root of 82265328 is about 434.9162264361.

The spelling of 82265328 in words is "eighty-two million, two hundred sixty-five thousand, three hundred twenty-eight".