428004 has 30 divisors (see below), whose sum is σ = 1119734. Its totient is φ = 142560.

The previous prime is 428003. The next prime is 428023. The reversal of 428004 is 400824.

Added to its reverse (400824) it gives a triangular number (828828 = T₁₂₈₇).

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 419904 + 8100 = 648^2 + 90^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 337 + ... + 984.

2⁴²⁸⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

428004 is an abundant number, since it is smaller than the sum of its proper divisors (691730).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

428004 is a wasteful number, since it uses less digits than its factorization.

428004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 428004 is about 654.2201464339. The cubic root of 428004 is about 75.3614552033.

Adding to 428004 its reverse (400824), we get a palindrome (828828).

The spelling of 428004 in words is "four hundred twenty-eight thousand, four".