328840800 has 144 divisors (see below), whose sum is σ = 1077712272. Its totient is φ = 87091200.

The previous prime is 328840789. The next prime is 328840801. The reversal of 328840800 is 8048823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328840801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 434022 + ... + 434778.

It is an arithmetic number, because the mean of its divisors is an integer number (7484113).

Almost surely, 2^328840800 is an apocalyptic number.

328840800 is a gapful number since it is divisible by the number (30) 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 328840800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538856136).

328840800 is an abundant number, since it is smaller than the sum of its proper divisors (748871472).

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

328840800 is a wasteful number, since it uses less digits than its factorization.

328840800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 328840800 is about 18133.9681261438. The cubic root of 328840800 is about 690.2322259712.

The spelling of 328840800 in words is "three hundred twenty-eight million, eight hundred forty thousand, eight hundred".