328444200 has 192 divisors, whose sum is σ = 1293072000. Its totient is φ = 75064320.

The previous prime is 328444189. The next prime is 328444213. The reversal of 328444200 is 2444823.

It is a happy number.

It is a super-3 number, since 3×328444200³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33456 + ... + 42144.

It is an arithmetic number, because the mean of its divisors is an integer number (6734750).

Almost surely, 2^328444200 is an apocalyptic number.

328444200 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 328444200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646536000).

328444200 is an abundant number, since it is smaller than the sum of its proper divisors (964627800).

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

328444200 is a wasteful number, since it uses less digits than its factorization.

328444200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8721 (or 8706 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 328444200 is about 18123.0295480640. The cubic root of 328444200 is about 689.9546283966.

The spelling of 328444200 in words is "three hundred twenty-eight million, four hundred forty-four thousand, two hundred".