8147328 has 96 divisors (see below), whose sum is σ = 25232760. Its totient is φ = 2322432.

The previous prime is 8147323. The next prime is 8147341. The reversal of 8147328 is 8237418.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×8147328³ (a number of 22 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8147323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18600 + ... + 19032.

Almost surely, 2^8147328 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 8147328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12616380).

8147328 is an abundant number, since it is smaller than the sum of its proper divisors (17085432).

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

8147328 is a wasteful number, since it uses less digits than its factorization.

8147328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 445 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 8147328 is about 2854.3524659719. The cubic root of 8147328 is about 201.2202728618.

The spelling of 8147328 in words is "eight million, one hundred forty-seven thousand, three hundred twenty-eight".