1328800840 has 32 divisors (see below), whose sum is σ = 2991675960. Its totient is φ = 531187200.

The previous prime is 1328800829. The next prime is 1328800843. The reversal of 1328800840 is 480088231.

It can be written as a sum of positive squares in 4 ways, for example, as 363207364 + 965593476 = 19058^2 + 31074^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1328800796 and 1328800805.

It is not an unprimeable number, because it can be changed into a prime (1328800843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60100 + ... + 79180.

Almost surely, 2^1328800840 is an apocalyptic number.

1328800840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1328800840 is an abundant number, since it is smaller than the sum of its proper divisors (1662875120).

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

1328800840 is a wasteful number, since it uses less digits than its factorization.

1328800840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20833 (or 20829 counting only the distinct ones).

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

The square root of 1328800840 is about 36452.7206117733. The cubic root of 1328800840 is about 1099.3938368295.

The spelling of 1328800840 in words is "one billion, three hundred twenty-eight million, eight hundred thousand, eight hundred forty".