1307407128 has 64 divisors (see below), whose sum is σ = 3312392160. Its totient is φ = 429981696.

The previous prime is 1307407093. The next prime is 1307407133. The reversal of 1307407128 is 8217047031.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 1007376 + ... + 1008672.

Almost surely, 2^1307407128 is an apocalyptic number.

It is an amenable number.

1307407128 is an abundant number, since it is smaller than the sum of its proper divisors (2004985032).

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

1307407128 is a wasteful number, since it uses less digits than its factorization.

1307407128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 1307407128 is about 36158.0852369149. The cubic root of 1307407128 is about 1093.4618013660.

The spelling of 1307407128 in words is "one billion, three hundred seven million, four hundred seven thousand, one hundred twenty-eight".