1328784000 has 512 divisors, whose sum is σ = 4888166400. Its totient is φ = 317952000.

The previous prime is 1328783921. The next prime is 1328784001. The reversal of 1328784000 is 4878231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328784001) 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 63 ways as a sum of consecutive naturals, for example, 28271977 + ... + 28272023.

It is an arithmetic number, because the mean of its divisors is an integer number (9547200).

Almost surely, 2^1328784000 is an apocalyptic number.

1328784000 is a gapful number since it is divisible by the number (10) 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 1328784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444083200).

1328784000 is an abundant number, since it is smaller than the sum of its proper divisors (3559382400).

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

1328784000 is a wasteful number, since it uses less digits than its factorization.

1328784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 1328784000 is about 36452.4896269103. The cubic root of 1328784000 is about 1099.3891925744.

The spelling of 1328784000 in words is "one billion, three hundred twenty-eight million, seven hundred eighty-four thousand".