1328008500 has 768 divisors, whose sum is σ = 5635768320. Its totient is φ = 262310400.

The previous prime is 1328008483. The next prime is 1328008501. The reversal of 1328008500 is 58008231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328008501) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 28255477 + ... + 28255523.

It is an arithmetic number, because the mean of its divisors is an integer number (7338240).

Almost surely, 2^1328008500 is an apocalyptic number.

1328008500 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 1328008500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2817884160).

1328008500 is an abundant number, since it is smaller than the sum of its proper divisors (4307759820).

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

1328008500 is a wasteful number, since it uses less digits than its factorization.

1328008500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1328008500 is about 36441.8509409168. The cubic root of 1328008500 is about 1099.1752771370.

The spelling of 1328008500 in words is "one billion, three hundred twenty-eight million, eight thousand, five hundred".