1328323136 has 112 divisors (see below), whose sum is σ = 3201375360. Its totient is φ = 534159360.

The previous prime is 1328323097. The next prime is 1328323151. The reversal of 1328323136 is 6313238231.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 961166 + ... + 962546.

Almost surely, 2^1328323136 is an apocalyptic number.

1328323136 is a gapful number since it is divisible by the number (16) 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 1328323136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600687680).

1328323136 is an abundant number, since it is smaller than the sum of its proper divisors (1873052224).

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

1328323136 is a wasteful number, since it uses less digits than its factorization.

1328323136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1522 counting only the distinct ones).

The product of its digits is 15552, while the sum is 32.

The square root of 1328323136 is about 36446.1676448979. The cubic root of 1328323136 is about 1099.2620769839.

The spelling of 1328323136 in words is "one billion, three hundred twenty-eight million, three hundred twenty-three thousand, one hundred thirty-six".