8282328 has 64 divisors (see below), whose sum is σ = 22377600. Its totient is φ = 2545920.

The previous prime is 8282327. The next prime is 8282341. The reversal of 8282328 is 8232828.

8282328 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

Its product of digits (12288) is a multiple of the sum of its prime factors (512).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8282327) 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, 18475 + ... + 18917.

It is an arithmetic number, because the mean of its divisors is an integer number (349650).

Almost surely, 2^8282328 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 8282328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11188800).

8282328 is an abundant number, since it is smaller than the sum of its proper divisors (14095272).

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

8282328 is a wasteful number, since it uses less digits than its factorization.

8282328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 508 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 8282328 is about 2877.9034035214. The cubic root of 8282328 is about 202.3255867513.

The spelling of 8282328 in words is "eight million, two hundred eighty-two thousand, three hundred twenty-eight".