1317529728 has 96 divisors (see below), whose sum is σ = 3853687500. Its totient is φ = 431953920.

The previous prime is 1317529727. The next prime is 1317529751. The reversal of 1317529728 is 8279257131.

It can be written as a sum of positive squares in 2 ways, for example, as 1249763904 + 67765824 = 35352^2 + 8232^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1317529727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60898 + ... + 79646.

Almost surely, 2^1317529728 is an apocalyptic number.

1317529728 is a gapful number since it is divisible by the number (18) 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 1317529728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926843750).

1317529728 is an abundant number, since it is smaller than the sum of its proper divisors (2536157772).

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

1317529728 is a wasteful number, since it uses less digits than its factorization.

1317529728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18830 (or 18815 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 1317529728 is about 36297.7923295619. The cubic root of 1317529728 is about 1096.2765920635.

The spelling of 1317529728 in words is "one billion, three hundred seventeen million, five hundred twenty-nine thousand, seven hundred twenty-eight".