1327728336 has 80 divisors (see below), whose sum is σ = 3754426368. Its totient is φ = 400982400.

The previous prime is 1327728331. The next prime is 1327728359. The reversal of 1327728336 is 6338277231.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327728331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158001 + ... + 166191.

Almost surely, 2^1327728336 is an apocalyptic number.

1327728336 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 1327728336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877213184).

1327728336 is an abundant number, since it is smaller than the sum of its proper divisors (2426698032).

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

1327728336 is a wasteful number, since it uses less digits than its factorization.

1327728336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8520 (or 8514 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The square root of 1327728336 is about 36438.0067511932. The cubic root of 1327728336 is about 1099.0979756738.

The spelling of 1327728336 in words is "one billion, three hundred twenty-seven million, seven hundred twenty-eight thousand, three hundred thirty-six".