307116628 has 96 divisors (see below), whose sum is σ = 723437568. Its totient is φ = 110592000.

The previous prime is 307116587. The next prime is 307116671. The reversal of 307116628 is 826611703.

307116628 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 307116593 and 307116602.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 191028 + ... + 192628.

It is an arithmetic number, because the mean of its divisors is an integer number (7535808).

Almost surely, 2^307116628 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 307116628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361718784).

307116628 is an abundant number, since it is smaller than the sum of its proper divisors (416320940).

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

307116628 is a wasteful number, since it uses less digits than its factorization.

307116628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 307116628 is about 17524.7433076779. The cubic root of 307116628 is about 674.6850862080.

The spelling of 307116628 in words is "three hundred seven million, one hundred sixteen thousand, six hundred twenty-eight".