428832 has 36 divisors (see below), whose sum is σ = 1220310. Its totient is φ = 142848.

The previous prime is 428809. The next prime is 428833. The reversal of 428832 is 238824.

It can be written as a sum of positive squares in only one way, i.e., 404496 + 24336 = 636^2 + 156^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 = 428796 and 428805.

It is not an unprimeable number, because it can be changed into a prime (428833) by changing a digit.

428832 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 457 + ... + 1032.

2⁴²⁸⁸³² is an apocalyptic number.

It is an amenable number.

428832 is an abundant number, since it is smaller than the sum of its proper divisors (791478).

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

428832 is a wasteful number, since it uses less digits than its factorization.

428832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1494 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 428832 is about 654.8526551828. The cubic root of 428832 is about 75.4100210187.

The spelling of 428832 in words is "four hundred twenty-eight thousand, eight hundred thirty-two".