1328565504 has 144 divisors (see below), whose sum is σ = 4279056768. Its totient is φ = 357236736.

The previous prime is 1328565473. The next prime is 1328565523. The reversal of 1328565504 is 4055658231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84124 + ... + 98660.

It is an arithmetic number, because the mean of its divisors is an integer number (29715672).

Almost surely, 2^1328565504 is an apocalyptic number.

1328565504 is a gapful number since it is divisible by the number (14) 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 1328565504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139528384).

1328565504 is an abundant number, since it is smaller than the sum of its proper divisors (2950491264).

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

1328565504 is a wasteful number, since it uses less digits than its factorization.

1328565504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14580 (or 14566 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The square root of 1328565504 is about 36449.4925067552. The cubic root of 1328565504 is about 1099.3289306335.

The spelling of 1328565504 in words is "one billion, three hundred twenty-eight million, five hundred sixty-five thousand, five hundred four".