328881600 has 336 divisors, whose sum is σ = 1254800640. Its totient is φ = 83635200.

The previous prime is 328881569. The next prime is 328881601. The reversal of 328881600 is 6188823.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328881601) by changing a digit.

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, 993435 + ... + 993765.

Almost surely, 2^328881600 is an apocalyptic number.

328881600 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 328881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627400320).

328881600 is an abundant number, since it is smaller than the sum of its proper divisors (925919040).

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

328881600 is a wasteful number, since it uses less digits than its factorization.

328881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 328881600 is about 18135.0930518705. The cubic root of 328881600 is about 690.2607709999.

The spelling of 328881600 in words is "three hundred twenty-eight million, eight hundred eighty-one thousand, six hundred".