1328906800 has 120 divisors (see below), whose sum is σ = 3531728816. Its totient is φ = 477342720.

The previous prime is 1328906783. The next prime is 1328906807. The reversal of 1328906800 is 86098231.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 1328906800.

It is not an unprimeable number, because it can be changed into a prime (1328906807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188947 + ... + 195853.

Almost surely, 2^1328906800 is an apocalyptic number.

1328906800 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 1328906800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765864408).

1328906800 is an abundant number, since it is smaller than the sum of its proper divisors (2202822016).

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

1328906800 is a wasteful number, since it uses less digits than its factorization.

1328906800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6975 (or 6964 counting only the distinct ones).

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

The square root of 1328906800 is about 36454.1739722628. The cubic root of 1328906800 is about 1099.4230583329.

The spelling of 1328906800 in words is "one billion, three hundred twenty-eight million, nine hundred six thousand, eight hundred".