328129200 has 360 divisors, whose sum is σ = 1349244000. Its totient is φ = 72253440.

The previous prime is 328129177. The next prime is 328129253. The reversal of 328129200 is 2921823.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a zygodrome in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 730576 + ... + 731024.

It is an arithmetic number, because the mean of its divisors is an integer number (3747900).

Almost surely, 2^328129200 is an apocalyptic number.

328129200 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 328129200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674622000).

328129200 is an abundant number, since it is smaller than the sum of its proper divisors (1021114800).

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

328129200 is a wasteful number, since it uses less digits than its factorization.

328129200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 328129200 is about 18114.3368633798. The cubic root of 328129200 is about 689.7339869352.

It can be divided in two parts, 328129 and 200, that added together give a square (328329 = 573²).

The spelling of 328129200 in words is "three hundred twenty-eight million, one hundred twenty-nine thousand, two hundred".