428264 has 32 divisors (see below), whose sum is σ = 881280. Its totient is φ = 194304.

The previous prime is 428251. The next prime is 428273. The reversal of 428264 is 462824.

It is a d-powerful number, because it can be written as 4² + 2¹¹ + 2¹⁷ + 8⁵ + 6³ + 4⁹ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6359 + ... + 6425.

It is an arithmetic number, because the mean of its divisors is an integer number (27540).

2⁴²⁸²⁶⁴ is an apocalyptic number.

It is an amenable number.

428264 is an abundant number, since it is smaller than the sum of its proper divisors (453016).

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

428264 is a wasteful number, since it uses less digits than its factorization.

428264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 133 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

The square root of 428264 is about 654.4188261351. The cubic root of 428264 is about 75.3767120795.

The spelling of 428264 in words is "four hundred twenty-eight thousand, two hundred sixty-four".