1304081328 has 80 divisors (see below), whose sum is σ = 3682014336. Its totient is φ = 394437120.

The previous prime is 1304081327. The next prime is 1304081329. The reversal of 1304081328 is 8231804031.

It is an interprime number because it is at equal distance from previous prime (1304081327) and next prime (1304081329).

It is a super-2 number, since 2×1304081328² = 3401256220076487168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1304081295 and 1304081304.

It is not an unprimeable number, because it can be changed into a prime (1304081323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 323775 + ... + 327777.

Almost surely, 2^1304081328 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 1304081328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841007168).

1304081328 is an abundant number, since it is smaller than the sum of its proper divisors (2377933008).

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

1304081328 is a wasteful number, since it uses less digits than its factorization.

1304081328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4642 (or 4636 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 1304081328 is about 36112.0662383088. The cubic root of 1304081328 is about 1092.5338263976.

Adding to 1304081328 its reverse (8231804031), we get a palindrome (9535885359).

The spelling of 1304081328 in words is "one billion, three hundred four million, eighty-one thousand, three hundred twenty-eight".