82322328 has 32 divisors (see below), whose sum is σ = 224516160. Its totient is φ = 24946080.

The previous prime is 82322327. The next prime is 82322353.

82322328 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 82322295 and 82322304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82322327) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 155650 + ... + 156177.

It is an arithmetic number, because the mean of its divisors is an integer number (7016130).

Almost surely, 2^82322328 is an apocalyptic number.

82322328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82322328 is an abundant number, since it is smaller than the sum of its proper divisors (142193832).

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

82322328 is a wasteful number, since it uses less digits than its factorization.

82322328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311847 (or 311843 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 82322328 is about 9073.1652690778. The cubic root of 82322328 is about 435.0166514963.

The spelling of 82322328 in words is "eighty-two million, three hundred twenty-two thousand, three hundred twenty-eight".