1328382144 has 84 divisors (see below), whose sum is σ = 3896188296. Its totient is φ = 432488448.

The previous prime is 1328382127. The next prime is 1328382151. The reversal of 1328382144 is 4412838231.

It is a happy number.

1328382144 is a `hidden beast` number, since 132 + 8 + 382 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1328382099 and 1328382108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2049 + ... + 51584.

It is an arithmetic number, because the mean of its divisors is an integer number (46383194).

Almost surely, 2^1328382144 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 1328382144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948094148).

1328382144 is an abundant number, since it is smaller than the sum of its proper divisors (2567806152).

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

1328382144 is a wasteful number, since it uses less digits than its factorization.

1328382144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53694 (or 53681 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 1328382144 is about 36446.9771586067. The cubic root of 1328382144 is about 1099.2783542221.

The spelling of 1328382144 in words is "one billion, three hundred twenty-eight million, three hundred eighty-two thousand, one hundred forty-four".