8328000 has 112 divisors (see below), whose sum is σ = 27578304. Its totient is φ = 2214400.

The previous prime is 8327999. The next prime is 8328007. The reversal of 8328000 is 8238.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8328007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23827 + ... + 24173.

Almost surely, 2^8328000 is an apocalyptic number.

8328000 is a gapful number since it is divisible by the number (80) 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 8328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13789152).

8328000 is an abundant number, since it is smaller than the sum of its proper divisors (19250304).

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

8328000 is a wasteful number, since it uses less digits than its factorization.

8328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 8328000 is about 2885.8274376684. The cubic root of 8328000 is about 202.6968060747.

The spelling of 8328000 in words is "eight million, three hundred twenty-eight thousand".