428113 has 6 divisors (see below), whose sum is σ = 498066. Its totient is φ = 366912.

The previous prime is 428093. The next prime is 428137. The reversal of 428113 is 311824.

It can be written as a sum of positive squares in only one way, i.e., 345744 + 82369 = 588^2 + 287^2 .

It is not a de Polignac number, because 428113 - 2¹³ = 419921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (428143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4320 + ... + 4417.

It is an arithmetic number, because the mean of its divisors is an integer number (83011).

2⁴²⁸¹¹³ is an apocalyptic number.

It is an amenable number.

428113 is a deficient number, since it is larger than the sum of its proper divisors (69953).

428113 is an equidigital number, since it uses as much as digits as its factorization.

428113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8751 (or 8744 counting only the distinct ones).

The product of its digits is 192, while the sum is 19.

The square root of 428113 is about 654.3034464222. The cubic root of 428113 is about 75.3678521073.

Adding to 428113 its reverse (311824), we get a palindrome (739937).

The spelling of 428113 in words is "four hundred twenty-eight thousand, one hundred thirteen".