130028409 has 45 divisors (see below), whose sum is σ = 227207871. Its totient is φ = 73891440.

The previous prime is 130028399. The next prime is 130028429. The reversal of 130028409 is 904820031.

The square root of 130028409 is 11403.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1432809 + 128595600 = 1197^2 + 11340^2 .

It is not a de Polignac number, because 130028409 - 2¹⁹ = 129504121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (130028429) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 718299 + ... + 718479.

Almost surely, 2^130028409 is an apocalyptic number.

130028409 is the 11403-rd square number.

130028409 is the 5702-nd centered octagonal number.

It is an amenable number.

130028409 is a deficient number, since it is larger than the sum of its proper divisors (97179462).

130028409 is an frugal number, since it uses more digits than its factorization.

130028409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The cubic root of 130028409 is about 506.6166003064.

The spelling of 130028409 in words is "one hundred thirty million, twenty-eight thousand, four hundred nine".