1328480800 has 36 divisors (see below), whose sum is σ = 3243155706. Its totient is φ = 531392000.

The previous prime is 1328480731. The next prime is 1328480809. The reversal of 1328480800 is 80848231.

It can be written as a sum of positive squares in 3 ways, for example, as 1242139536 + 86341264 = 35244^2 + 9292^2 .

It is a super-2 number, since 2×1328480800² = 3529722471937280000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1328480809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 829501 + ... + 831100.

Almost surely, 2^1328480800 is an apocalyptic number.

1328480800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1328480800 is an abundant number, since it is smaller than the sum of its proper divisors (1914674906).

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

1328480800 is a wasteful number, since it uses less digits than its factorization.

1328480800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660621 (or 1660608 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 1328480800 is about 36448.3305516179. The cubic root of 1328480800 is about 1099.3055672047.

The spelling of 1328480800 in words is "one billion, three hundred twenty-eight million, four hundred eighty thousand, eight hundred".