428265 has 24 divisors (see below), whose sum is σ = 768768. Its totient is φ = 220320.

The previous prime is 428251. The next prime is 428273. The reversal of 428265 is 562824.

It is not a de Polignac number, because 428265 - 2⁴ = 428249 is a prime.

428265 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1242 + ... + 1548.

It is an arithmetic number, because the mean of its divisors is an integer number (32032).

2⁴²⁸²⁶⁵ is an apocalyptic number.

428265 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

428265 is a deficient number, since it is larger than the sum of its proper divisors (340503).

428265 is a wasteful number, since it uses less digits than its factorization.

428265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 346 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 428265 is about 654.4195901713. The cubic root of 428265 is about 75.3767707479.

The spelling of 428265 in words is "four hundred twenty-eight thousand, two hundred sixty-five".