8006328 has 72 divisors (see below), whose sum is σ = 23860200. Its totient is φ = 2423520.

The previous prime is 8006287. The next prime is 8006329. The reversal of 8006328 is 8236008.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8006329) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8253 + ... + 9171.

Almost surely, 2^8006328 is an apocalyptic number.

8006328 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 8006328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11930100).

8006328 is an abundant number, since it is smaller than the sum of its proper divisors (15853872).

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

8006328 is a wasteful number, since it uses less digits than its factorization.

8006328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8006328 is about 2829.5455465498. The cubic root of 8006328 is about 200.0527194354.

The spelling of 8006328 in words is "eight million, six thousand, three hundred twenty-eight".