8267328 has 84 divisors (see below), whose sum is σ = 24514048. Its totient is φ = 2661120.

The previous prime is 8267267. The next prime is 8267333. The reversal of 8267328 is 8237628.

It is a happy number.

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

Its product of digits (32256) is a multiple of the sum of its prime factors (512).

It is a junction number, because it is equal to n+sod(n) for n = 8267292 and 8267301.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17625 + ... + 18087.

Almost surely, 2^8267328 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 8267328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12257024).

8267328 is an abundant number, since it is smaller than the sum of its proper divisors (16246720).

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

8267328 is a wasteful number, since it uses less digits than its factorization.

8267328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 499 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 8267328 is about 2875.2961586591. The cubic root of 8267328 is about 202.2033699949.

The spelling of 8267328 in words is "eight million, two hundred sixty-seven thousand, three hundred twenty-eight".