82344328 has 64 divisors (see below), whose sum is σ = 187790400. Its totient is φ = 33361920.

The previous prime is 82344323. The next prime is 82344341.

82344328 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 82344293 and 82344302.

It is not an unprimeable number, because it can be changed into a prime (82344323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26976 + ... + 29872.

It is an arithmetic number, because the mean of its divisors is an integer number (2934225).

Almost surely, 2^82344328 is an apocalyptic number.

82344328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82344328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93895200).

82344328 is an abundant number, since it is smaller than the sum of its proper divisors (105446072).

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

82344328 is a wasteful number, since it uses less digits than its factorization.

82344328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2950 (or 2946 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

The square root of 82344328 is about 9074.3775544111. The cubic root of 82344328 is about 435.0553996470.

The spelling of 82344328 in words is "eighty-two million, three hundred forty-four thousand, three hundred twenty-eight".