1328996160 has 280 divisors, whose sum is σ = 4769425056. Its totient is φ = 352719360.

The previous prime is 1328996159. The next prime is 1328996167. The reversal of 1328996160 is 616998231.

It is a happy number.

1328996160 is a `hidden beast` number, since 1 + 3 + 28 + 9 + 9 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328996167) 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 39 ways as a sum of consecutive naturals, for example, 6298455 + ... + 6298665.

Almost surely, 2^1328996160 is an apocalyptic number.

1328996160 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 1328996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384712528).

1328996160 is an abundant number, since it is smaller than the sum of its proper divisors (3440428896).

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

1328996160 is an frugal number, since it uses more digits than its factorization.

1328996160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 221 counting only the distinct ones).

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

The square root of 1328996160 is about 36455.3996000592. The cubic root of 1328996160 is about 1099.4477007037.

The spelling of 1328996160 in words is "one billion, three hundred twenty-eight million, nine hundred ninety-six thousand, one hundred sixty".