328192200 has 324 divisors, whose sum is σ = 1303489395. Its totient is φ = 73785600.

The previous prime is 328192199. The next prime is 328192213. The reversal of 328192200 is 2291823.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 509796 + 327682404 = 714^2 + 18102^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=12810.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5380170 + ... + 5380230.

Almost surely, 2^328192200 is an apocalyptic number.

328192200 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 328192200

328192200 is an abundant number, since it is smaller than the sum of its proper divisors (975297195).

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

328192200 is a wasteful number, since it uses less digits than its factorization.

328192200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 78 counting only the distinct ones).

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

The square root of 328192200 is about 18116.0757339993. The cubic root of 328192200 is about 689.7781265205.

It can be divided in two parts, 3281 and 92200, that added together give a square (95481 = 309²).

The spelling of 328192200 in words is "three hundred twenty-eight million, one hundred ninety-two thousand, two hundred".