1327768728 has 128 divisors (see below), whose sum is σ = 3955392000. Its totient is φ = 366105600.

The previous prime is 1327768699. The next prime is 1327768769. The reversal of 1327768728 is 8278677231.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240948 + ... + 246396.

It is an arithmetic number, because the mean of its divisors is an integer number (30901500).

Almost surely, 2^1327768728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1327768728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1977696000).

1327768728 is an abundant number, since it is smaller than the sum of its proper divisors (2627623272).

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

1327768728 is a wasteful number, since it uses less digits than its factorization.

1327768728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5553 (or 5549 counting only the distinct ones).

The product of its digits is 1580544, while the sum is 51.

The square root of 1327768728 is about 36438.5610034205. The cubic root of 1327768728 is about 1099.1091211052.

The spelling of 1327768728 in words is "one billion, three hundred twenty-seven million, seven hundred sixty-eight thousand, seven hundred twenty-eight".