328273200 has 180 divisors, whose sum is σ = 1157051688. Its totient is φ = 86169600.

The previous prime is 328273199. The next prime is 328273201. The reversal of 328273200 is 2372823.

It is an interprime number because it is at equal distance from previous prime (328273199) and next prime (328273201).

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (328273201) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 240520 + ... + 241880.

Almost surely, 2^328273200 is an apocalyptic number.

328273200 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 328273200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578525844).

328273200 is an abundant number, since it is smaller than the sum of its proper divisors (828778488).

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

328273200 is a wasteful number, since it uses less digits than its factorization.

328273200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 328273200 is about 18118.3111795774. The cubic root of 328273200 is about 689.8348691166.

The spelling of 328273200 in words is "three hundred twenty-eight million, two hundred seventy-three thousand, two hundred".