1329028992 has 128 divisors (see below), whose sum is σ = 4153399200. Its totient is φ = 416931840.

The previous prime is 1329028979. The next prime is 1329029017. The reversal of 1329028992 is 2998209231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 47442 + ... + 70062.

Almost surely, 2^1329028992 is an apocalyptic number.

1329028992 is a gapful number since it is divisible by the number (12) 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 1329028992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076699600).

1329028992 is an abundant number, since it is smaller than the sum of its proper divisors (2824370208).

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

1329028992 is a wasteful number, since it uses less digits than its factorization.

1329028992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22661 (or 22643 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 1329028992 is about 36455.8499009418. The cubic root of 1329028992 is about 1099.4567543466.

The spelling of 1329028992 in words is "one billion, three hundred twenty-nine million, twenty-eight thousand, nine hundred ninety-two".