8339328 has 128 divisors (see below), whose sum is σ = 26112000. Its totient is φ = 2612736.

The previous prime is 8339321. The next prime is 8339339. The reversal of 8339328 is 8239338.

It is a tau number, because it is divible by the number of its divisors (128).

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 zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 8339292 and 8339301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8339321) 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, 65601 + ... + 65727.

It is an arithmetic number, because the mean of its divisors is an integer number (204000).

Almost surely, 2^8339328 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 8339328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13056000).

8339328 is an abundant number, since it is smaller than the sum of its proper divisors (17772672).

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

8339328 is a wasteful number, since it uses less digits than its factorization.

8339328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 151 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 8339328 is about 2887.7894660103. The cubic root of 8339328 is about 202.7886692314.

The spelling of 8339328 in words is "eight million, three hundred thirty-nine thousand, three hundred twenty-eight".