628182009 has 144 divisors (see below), whose sum is σ = 1228281600. Its totient is φ = 305690112.

The previous prime is 628182007. The next prime is 628182013. The reversal of 628182009 is 900281826.

628182009 is a `hidden beast` number, since 628 + 1 + 8 + 20 + 0 + 9 = 666.

It is not a de Polignac number, because 628182009 - 2¹ = 628182007 is a prime.

It is a super-2 number, since 2×628182009² = 789225272862552162, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (628182007) 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 143 ways as a sum of consecutive naturals, for example, 7951632 + ... + 7951710.

Almost surely, 2^628182009 is an apocalyptic number.

It is an amenable number.

628182009 is a deficient number, since it is larger than the sum of its proper divisors (600099591).

628182009 is a wasteful number, since it uses less digits than its factorization.

628182009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 628182009 is about 25063.5593840939. The cubic root of 628182009 is about 856.4364935641.

The spelling of 628182009 in words is "six hundred twenty-eight million, one hundred eighty-two thousand, nine".