1307084328 has 96 divisors (see below), whose sum is σ = 4065141600. Its totient is φ = 375235200.

The previous prime is 1307084293. The next prime is 1307084351. The reversal of 1307084328 is 8234807031.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1307084292 and 1307084301.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 28383 + ... + 58478.

It is an arithmetic number, because the mean of its divisors is an integer number (42345225).

Almost surely, 2^1307084328 is an apocalyptic number.

1307084328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1307084328 is an abundant number, since it is smaller than the sum of its proper divisors (2758057272).

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

1307084328 is a wasteful number, since it uses less digits than its factorization.

1307084328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86903 (or 86896 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1307084328 is about 36153.6212294149. The cubic root of 1307084328 is about 1093.3718017234.

The spelling of 1307084328 in words is "one billion, three hundred seven million, eighty-four thousand, three hundred twenty-eight".