1328781300 has 576 divisors, whose sum is σ = 5207666688. Its totient is φ = 253440000.

The previous prime is 1328781287. The next prime is 1328781367. The reversal of 1328781300 is 31878231.

1328781300 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21783270 + ... + 21783330.

It is an arithmetic number, because the mean of its divisors is an integer number (9041088).

Almost surely, 2^1328781300 is an apocalyptic number.

1328781300 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 1328781300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2603833344).

1328781300 is an abundant number, since it is smaller than the sum of its proper divisors (3878885388).

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

1328781300 is a wasteful number, since it uses less digits than its factorization.

1328781300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 1328781300 is about 36452.4525923840. The cubic root of 1328781300 is about 1099.3884479455.

The spelling of 1328781300 in words is "one billion, three hundred twenty-eight million, seven hundred eighty-one thousand, three hundred".