328816800 has 288 divisors, whose sum is σ = 1281792960. Its totient is φ = 80870400.

The previous prime is 328816769. The next prime is 328816801. The reversal of 328816800 is 8618823.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (328816801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280215 + ... + 281385.

It is an arithmetic number, because the mean of its divisors is an integer number (4450670).

Almost surely, 2^328816800 is an apocalyptic number.

328816800 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 328816800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640896480).

328816800 is an abundant number, since it is smaller than the sum of its proper divisors (952976160).

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

328816800 is a wasteful number, since it uses less digits than its factorization.

328816800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 328816800 is about 18133.3063725290. The cubic root of 328816800 is about 690.2154336749.

The spelling of 328816800 in words is "three hundred twenty-eight million, eight hundred sixteen thousand, eight hundred".