328924800 has 384 divisors, whose sum is σ = 1244563200. Its totient is φ = 85847040.

The previous prime is 328924733. The next prime is 328924811. The reversal of 328924800 is 8429823.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6998377 + ... + 6998423.

It is an arithmetic number, because the mean of its divisors is an integer number (3241050).

Almost surely, 2^328924800 is an apocalyptic number.

328924800 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 328924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622281600).

328924800 is an abundant number, since it is smaller than the sum of its proper divisors (915638400).

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

328924800 is an frugal number, since it uses more digits than its factorization.

328924800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 328924800 is about 18136.2840736464. The cubic root of 328924800 is about 690.2909925748.

The spelling of 328924800 in words is "three hundred twenty-eight million, nine hundred twenty-four thousand, eight hundred".