328548800 has 168 divisors, whose sum is σ = 877604544. Its totient is φ = 120586240.

The previous prime is 328548769. The next prime is 328548809. The reversal of 328548800 is 8845823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328548809) 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 23 ways as a sum of consecutive naturals, for example, 1278272 + ... + 1278528.

Almost surely, 2^328548800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438802272).

328548800 is an abundant number, since it is smaller than the sum of its proper divisors (549055744).

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

328548800 is a wasteful number, since it uses less digits than its factorization.

328548800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The square root of 328548800 is about 18125.9151493104. The cubic root of 328548800 is about 690.0278641692.

The spelling of 328548800 in words is "three hundred twenty-eight million, five hundred forty-eight thousand, eight hundred".