432128 has 24 divisors (see below), whose sum is σ = 868140. Its totient is φ = 215040.

The previous prime is 432121. The next prime is 432137. The reversal of 432128 is 821234.

It can be divided in two parts, 43212 and 8, that multiplied together give a triangular number (345696 = T_{831}).

432128 is nontrivially palindromic in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432121) by changing a digit.

432128 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 (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1943 + ... + 2153.

2^{432128} 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 432128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434070).

432128 is an abundant number, since it is smaller than the sum of its proper divisors (436012).

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

432128 is an equidigital number, since it uses as much as digits as its factorization.

432128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 213 counting only the distinct ones).

The product of its digits is 384, while the sum is 20.

The square root of 432128 is about 657.3644346936. The cubic root of 432128 is about 75.6027284552.

The spelling of 432128 in words is "four hundred thirty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 211 256 422 512 844 1024 1688 2048 3376 6752 13504 27008 54016 108032 216064 432128

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