428913 has 6 divisors (see below), whose sum is σ = 619554. Its totient is φ = 285936.

The previous prime is 428899. The next prime is 428951. The reversal of 428913 is 319824.

It can be written as a sum of positive squares in only one way, i.e., 400689 + 28224 = 633^2 + 168^2 .

It is not a de Polignac number, because 428913 - 2⁸ = 428657 is a prime.

It is a Curzon number.

428913 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (421913) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23820 + ... + 23837.

It is an arithmetic number, because the mean of its divisors is an integer number (103259).

2⁴²⁸⁹¹³ is an apocalyptic number.

It is an amenable number.

428913 is a deficient number, since it is larger than the sum of its proper divisors (190641).

428913 is a wasteful number, since it uses less digits than its factorization.

428913 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47663 (or 47660 counting only the distinct ones).

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

The square root of 428913 is about 654.9144982362. The cubic root of 428913 is about 75.4147686644.

The spelling of 428913 in words is "four hundred twenty-eight thousand, nine hundred thirteen".