1328441200 has 60 divisors (see below), whose sum is σ = 3379337280. Its totient is φ = 500116480.

The previous prime is 1328441159. The next prime is 1328441239. The reversal of 1328441200 is 21448231.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90880 + ... + 104479.

It is an arithmetic number, because the mean of its divisors is an integer number (56322288).

Almost surely, 2^1328441200 is an apocalyptic number.

1328441200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1328441200 is an abundant number, since it is smaller than the sum of its proper divisors (2050896080).

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

1328441200 is a wasteful number, since it uses less digits than its factorization.

1328441200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195394 (or 195383 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 1328441200 is about 36447.7873128123. The cubic root of 1328441200 is about 1099.2946442183.

Adding to 1328441200 its reverse (21448231), we get a palindrome (1349889431).

The spelling of 1328441200 in words is "one billion, three hundred twenty-eight million, four hundred forty-one thousand, two hundred".