1328027200 has 42 divisors (see below), whose sum is σ = 3267780866. Its totient is φ = 531210240.

The previous prime is 1328027149. The next prime is 1328027203. The reversal of 1328027200 is 27208231.

It can be written as a sum of positive squares in 3 ways, for example, as 131974144 + 1196053056 = 11488^2 + 34584^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1328027203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 413409 + ... + 416608.

Almost surely, 2^1328027200 is an apocalyptic number.

1328027200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1328027200 is an abundant number, since it is smaller than the sum of its proper divisors (1939753666).

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

1328027200 is an equidigital number, since it uses as much as digits as its factorization.

1328027200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830039 (or 830024 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 1328027200 is about 36442.1075131502. The cubic root of 1328027200 is about 1099.1804363613.

The spelling of 1328027200 in words is "one billion, three hundred twenty-eight million, twenty-seven thousand, two hundred".