432828 has 36 divisors (see below), whose sum is σ = 1194648. Its totient is φ = 131040.

The previous prime is 432799. The next prime is 432833. The reversal of 432828 is 828234.

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

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

432828 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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151 + ... + 942.

2⁴³²⁸²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597324).

432828 is an abundant number, since it is smaller than the sum of its proper divisors (761820).

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

432828 is a wasteful number, since it uses less digits than its factorization.

432828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1109 counting only the distinct ones).

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

The square root of 432828 is about 657.8966484183. The cubic root of 432828 is about 75.6435291437.

It can be divided in two parts, 4328 and 28, that added together give a square (4356 = 66²).

The spelling of 432828 in words is "four hundred thirty-two thousand, eight hundred twenty-eight".