4432128 has 72 divisors (see below), whose sum is σ = 12264000. Its totient is φ = 1419264.

The previous prime is 4432097. The next prime is 4432151. The reversal of 4432128 is 8212344.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 = 4432098 and 4432107.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22173 + ... + 22371.

Almost surely, 2^4432128 is an apocalyptic number.

4432128 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 4432128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6132000).

4432128 is an abundant number, since it is smaller than the sum of its proper divisors (7831872).

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

4432128 is a wasteful number, since it uses less digits than its factorization.

4432128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 233 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 4432128 is about 2105.2619789470. The cubic root of 4432128 is about 164.2621229605.

It can be divided in two parts, 4432 and 128, that added together give a triangular number (4560 = T₉₅).

The spelling of 4432128 in words is "four million, four hundred thirty-two thousand, one hundred twenty-eight".