172028128407 has 16 divisors (see below), whose sum is σ = 248511225600. Its totient is φ = 105429002112.

The previous prime is 172028128381. The next prime is 172028128421. The reversal of 172028128407 is 704821820271.

172028128407 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 172028128407 - 2¹² = 172028124311 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172028128607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39219907 + ... + 39224292.

It is an arithmetic number, because the mean of its divisors is an integer number (15531951600).

Almost surely, 2^172028128407 is an apocalyptic number.

172028128407 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

172028128407 is a deficient number, since it is larger than the sum of its proper divisors (76483097193).

172028128407 is a wasteful number, since it uses less digits than its factorization.

172028128407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78444262.

The product of its (nonzero) digits is 100352, while the sum is 42.

Adding to 172028128407 its reverse (704821820271), we get a palindrome (876849948678).

The spelling of 172028128407 in words is "one hundred seventy-two billion, twenty-eight million, one hundred twenty-eight thousand, four hundred seven".