82319328 has 240 divisors, whose sum is σ = 298821600. Its totient is φ = 21648384.

The previous prime is 82319261. The next prime is 82319333. The reversal of 82319328 is 82391328.

It is a happy number.

It is a Cunningham number, because it is equal to 9073²-1.

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

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 = 82319292 and 82319301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 235698 + ... + 236046.

It is an arithmetic number, because the mean of its divisors is an integer number (1245090).

Almost surely, 2^82319328 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 82319328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149410800).

82319328 is an abundant number, since it is smaller than the sum of its proper divisors (216502272).

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

82319328 is a wasteful number, since it uses less digits than its factorization.

82319328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 374 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 82319328 is about 9072.9999448914. Note that the first 4 decimals coincide. The cubic root of 82319328 is about 435.0113671227.

The spelling of 82319328 in words is "eighty-two million, three hundred nineteen thousand, three hundred twenty-eight".