1328152384 has 56 divisors (see below), whose sum is σ = 2846144168. Its totient is φ = 611297280.

The previous prime is 1328152369. The next prime is 1328152409. The reversal of 1328152384 is 4832518231.

It can be written as a sum of positive squares in 4 ways, for example, as 278784 + 1327873600 = 528^2 + 36440^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 328294 + ... + 332314.

It is an arithmetic number, because the mean of its divisors is an integer number (50824003).

Almost surely, 2^1328152384 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 1328152384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423072084).

1328152384 is an abundant number, since it is smaller than the sum of its proper divisors (1517991784).

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

1328152384 is a wasteful number, since it uses less digits than its factorization.

1328152384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4443 (or 4433 counting only the distinct ones).

The product of its digits is 46080, while the sum is 37.

The square root of 1328152384 is about 36443.8250462270. The cubic root of 1328152384 is about 1099.2149726721.

The spelling of 1328152384 in words is "one billion, three hundred twenty-eight million, one hundred fifty-two thousand, three hundred eighty-four".