432841728 has 88 divisors (see below), whose sum is σ = 1258659360. Its totient is φ = 131153920.

The previous prime is 432841723. The next prime is 432841729. The reversal of 432841728 is 827148234.

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-2 number, since 2×432841728² = 374703922996051968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (432841723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27388 + ... + 40196.

Almost surely, 2^432841728 is an apocalyptic number.

432841728 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 432841728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629329680).

432841728 is an abundant number, since it is smaller than the sum of its proper divisors (825817632).

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

432841728 is a wasteful number, since it uses less digits than its factorization.

432841728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12843 (or 12825 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 432841728 is about 20804.8486656356. The cubic root of 432841728 is about 756.4432886351.

It can be divided in two parts, 4328 and 41728, that added together give a triangular number (46056 = T₃₀₃).

The spelling of 432841728 in words is "four hundred thirty-two million, eight hundred forty-one thousand, seven hundred twenty-eight".