172628409 has 32 divisors (see below), whose sum is σ = 248371200. Its totient is φ = 106381440.

The previous prime is 172628383. The next prime is 172628411. The reversal of 172628409 is 904826271.

It is not a de Polignac number, because 172628409 - 2⁸ = 172628153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (172628459) 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 31 ways as a sum of consecutive naturals, for example, 393012 + ... + 393450.

It is an arithmetic number, because the mean of its divisors is an integer number (7761600).

Almost surely, 2^172628409 is an apocalyptic number.

It is an amenable number.

172628409 is a deficient number, since it is larger than the sum of its proper divisors (75742791).

172628409 is a wasteful number, since it uses less digits than its factorization.

172628409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645.

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 172628409 is about 13138.8130742469. The cubic root of 172628409 is about 556.8062344218.

It can be divided in two parts, 1726 and 28409, that added together give a triangular number (30135 = T₂₄₅).

The spelling of 172628409 in words is "one hundred seventy-two million, six hundred twenty-eight thousand, four hundred nine".