428232 has 32 divisors (see below), whose sum is σ = 1224000. Its totient is φ = 122304.

The previous prime is 428231. The next prime is 428249. The reversal of 428232 is 232824.

428232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 428199 and 428208.

It is not an unprimeable number, because it can be changed into a prime (428231) 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 7 ways as a sum of consecutive naturals, for example, 1107 + ... + 1442.

It is an arithmetic number, because the mean of its divisors is an integer number (38250).

2⁴²⁸²³² is an apocalyptic number.

428232 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

428232 is an abundant number, since it is smaller than the sum of its proper divisors (795768).

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

428232 is a wasteful number, since it uses less digits than its factorization.

428232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565 (or 2561 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 428232 is about 654.3943765040. The cubic root of 428232 is about 75.3748346434.

It can be divided in two parts, 42 and 8232, that multiplied together give a square (345744 = 588²).

The spelling of 428232 in words is "four hundred twenty-eight thousand, two hundred thirty-two".