4384128 has 96 divisors (see below), whose sum is σ = 13604760. Its totient is φ = 1247232.

The previous prime is 4384103. The next prime is 4384129. The reversal of 4384128 is 8214834.

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

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 = 4384095 and 4384104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4384129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18700 + ... + 18932.

Almost surely, 2^4384128 is an apocalyptic number.

4384128 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 4384128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6802380).

4384128 is an abundant number, since it is smaller than the sum of its proper divisors (9220632).

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

4384128 is a wasteful number, since it uses less digits than its factorization.

4384128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 245 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 4384128 is about 2093.8309387341. The cubic root of 4384128 is about 163.6669823737. Note that the first 3 decimals are identical.

The spelling of 4384128 in words is "four million, three hundred eighty-four thousand, one hundred twenty-eight".