8138328 has 64 divisors (see below), whose sum is σ = 22982400. Its totient is φ = 2378880.

The previous prime is 8138323. The next prime is 8138363. The reversal of 8138328 is 8238318.

8138328 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 (8138323) 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, 7125 + ... + 8187.

It is an arithmetic number, because the mean of its divisors is an integer number (359100).

Almost surely, 2^8138328 is an apocalyptic number.

8138328 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 8138328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11491200).

8138328 is an abundant number, since it is smaller than the sum of its proper divisors (14844072).

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

8138328 is a wasteful number, since it uses less digits than its factorization.

8138328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1108 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 8138328 is about 2852.7754906406. The cubic root of 8138328 is about 201.1461524589.

The spelling of 8138328 in words is "eight million, one hundred thirty-eight thousand, three hundred twenty-eight".