432128928 has 192 divisors, whose sum is σ = 1442230272. Its totient is φ = 110023680.

The previous prime is 432128911. The next prime is 432128929. The reversal of 432128928 is 829821234.

It is not an unprimeable number, because it can be changed into a prime (432128929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 391225 + ... + 392327.

It is an arithmetic number, because the mean of its divisors is an integer number (7511616).

Almost surely, 2^432128928 is an apocalyptic number.

432128928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432128928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721115136).

432128928 is an abundant number, since it is smaller than the sum of its proper divisors (1010101344).

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

432128928 is a wasteful number, since it uses less digits than its factorization.

432128928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1179 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 432128928 is about 20787.7109850989. The cubic root of 432128928 is about 756.0278257444.

The spelling of 432128928 in words is "four hundred thirty-two million, one hundred twenty-eight thousand, nine hundred twenty-eight".