1328896000 has 192 divisors, whose sum is σ = 3449628000. Its totient is φ = 510361600.

The previous prime is 1328895991. The next prime is 1328896007. The reversal of 1328896000 is 6988231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328896007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7423911 + ... + 7424089.

Almost surely, 2^1328896000 is an apocalyptic number.

1328896000 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 1328896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724814000).

1328896000 is an abundant number, since it is smaller than the sum of its proper divisors (2120732000).

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

1328896000 is an equidigital number, since it uses as much as digits as its factorization.

1328896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 1328896000 is about 36454.0258407765. The cubic root of 1328896000 is about 1099.4200799948.

The spelling of 1328896000 in words is "one billion, three hundred twenty-eight million, eight hundred ninety-six thousand".