328291200 has 144 divisors (see below), whose sum is σ = 1171521000. Its totient is φ = 87536640.

The previous prime is 328291181. The next prime is 328291211. The reversal of 328291200 is 2192823.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×328291200² = 215550223994880000, which contains 22 as substring.

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 23101 + ... + 34499.

Almost surely, 2^328291200 is an apocalyptic number.

328291200 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 328291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585760500).

328291200 is an abundant number, since it is smaller than the sum of its proper divisors (843229800).

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

328291200 is a wasteful number, since it uses less digits than its factorization.

328291200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11429 (or 11409 counting only the distinct ones).

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

The square root of 328291200 is about 18118.8079078067. The cubic root of 328291200 is about 689.8474773148.

The spelling of 328291200 in words is "three hundred twenty-eight million, two hundred ninety-one thousand, two hundred".