328771200 has 192 divisors, whose sum is σ = 1130731200. Its totient is φ = 83804160.

The previous prime is 328771199. The next prime is 328771229. The reversal of 328771200 is 2177823.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 220056 + ... + 221544.

It is an arithmetic number, because the mean of its divisors is an integer number (5889225).

Almost surely, 2^328771200 is an apocalyptic number.

328771200 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 328771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565365600).

328771200 is an abundant number, since it is smaller than the sum of its proper divisors (801960000).

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

328771200 is a wasteful number, since it uses less digits than its factorization.

328771200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 328771200 is about 18132.0489741231. The cubic root of 328771200 is about 690.1835260607.

The spelling of 328771200 in words is "three hundred twenty-eight million, seven hundred seventy-one thousand, two hundred".