1305431328 has 96 divisors (see below), whose sum is σ = 3723632640. Its totient is φ = 398926080.

The previous prime is 1305431279. The next prime is 1305431353. The reversal of 1305431328 is 8231345031.

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

It is a junction number, because it is equal to n+sod(n) for n = 1305431295 and 1305431304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45001 + ... + 68087.

It is an arithmetic number, because the mean of its divisors is an integer number (38787840).

Almost surely, 2^1305431328 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 1305431328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861816320).

1305431328 is an abundant number, since it is smaller than the sum of its proper divisors (2418201312).

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

1305431328 is a wasteful number, since it uses less digits than its factorization.

1305431328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23150 (or 23142 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1305431328 is about 36130.7532166159. The cubic root of 1305431328 is about 1092.9106975775.

Adding to 1305431328 its reverse (8231345031), we get a palindrome (9536776359).

The spelling of 1305431328 in words is "one billion, three hundred five million, four hundred thirty-one thousand, three hundred twenty-eight".