432448128 has 288 divisors, whose sum is σ = 1487453760. Its totient is φ = 120185856.

The previous prime is 432448127. The next prime is 432448129. The reversal of 432448128 is 821844234.

It is an interprime number because it is at equal distance from previous prime (432448127) and next prime (432448129).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×432448128² = 374022766821408768, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 432448092 and 432448101.

It is not an unprimeable number, because it can be changed into a prime (432448127) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 2652975 + ... + 2653137.

It is an arithmetic number, because the mean of its divisors is an integer number (5164770).

Almost surely, 2^432448128 is an apocalyptic number.

432448128 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 432448128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743726880).

432448128 is an abundant number, since it is smaller than the sum of its proper divisors (1055005632).

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

432448128 is a wasteful number, since it uses less digits than its factorization.

432448128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 222 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 432448128 is about 20795.3871808149. The cubic root of 432448128 is about 756.2139312260.

The spelling of 432448128 in words is "four hundred thirty-two million, four hundred forty-eight thousand, one hundred twenty-eight".