1328719968 has 72 divisors (see below), whose sum is σ = 3817581768. Its totient is φ = 438331392.

The previous prime is 1328719963. The next prime is 1328719979. The reversal of 1328719968 is 8699178231.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328719963) 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 11 ways as a sum of consecutive naturals, for example, 4155 + ... + 51717.

It is an arithmetic number, because the mean of its divisors is an integer number (53021969).

Almost surely, 2^1328719968 is an apocalyptic number.

1328719968 is a gapful number since it is divisible by the number (18) 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 1328719968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908790884).

1328719968 is an abundant number, since it is smaller than the sum of its proper divisors (2488861800).

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

1328719968 is a wasteful number, since it uses less digits than its factorization.

1328719968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47676 (or 47665 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The square root of 1328719968 is about 36451.6113224093. The cubic root of 1328719968 is about 1099.3715330151.

The spelling of 1328719968 in words is "one billion, three hundred twenty-eight million, seven hundred nineteen thousand, nine hundred sixty-eight".