432325728 has 96 divisors (see below), whose sum is σ = 1264525920. Its totient is φ = 143700480.

The previous prime is 432325681. The next prime is 432325757. The reversal of 432325728 is 827523234.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 432325692 and 432325701.

It is a congruent number.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 570726 + ... + 571482.

It is an arithmetic number, because the mean of its divisors is an integer number (13172145).

Almost surely, 2^432325728 is an apocalyptic number.

432325728 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 432325728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632262960).

432325728 is an abundant number, since it is smaller than the sum of its proper divisors (832200192).

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

432325728 is a wasteful number, since it uses less digits than its factorization.

432325728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1423 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 432325728 is about 20792.4440121887. Note that the first 3 decimals coincide. The cubic root of 432325728 is about 756.1425782989.

The spelling of 432325728 in words is "four hundred thirty-two million, three hundred twenty-five thousand, seven hundred twenty-eight".