428688393 has 32 divisors (see below), whose sum is σ = 689418240. Its totient is φ = 231465600.

The previous prime is 428688391. The next prime is 428688409. The reversal of 428688393 is 393886824.

It is not a de Polignac number, because 428688393 - 2¹ = 428688391 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (428688391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181168 + ... + 183518.

It is an arithmetic number, because the mean of its divisors is an integer number (21544320).

Almost surely, 2^428688393 is an apocalyptic number.

It is an amenable number.

428688393 is a deficient number, since it is larger than the sum of its proper divisors (260729847).

428688393 is a wasteful number, since it uses less digits than its factorization.

428688393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2837.

The product of its digits is 1990656, while the sum is 51.

The square root of 428688393 is about 20704.7915468860. The cubic root of 428688393 is about 754.0160232484.

The spelling of 428688393 in words is "four hundred twenty-eight million, six hundred eighty-eight thousand, three hundred ninety-three".