4211328 has 64 divisors (see below), whose sum is σ = 12215520. Its totient is φ = 1274880.

The previous prime is 4211321. The next prime is 4211371. The reversal of 4211328 is 8231124.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (4211321) 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, 3726 + ... + 4722.

Almost surely, 2^4211328 is an apocalyptic number.

4211328 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 4211328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6107760).

4211328 is an abundant number, since it is smaller than the sum of its proper divisors (8004192).

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

4211328 is a wasteful number, since it uses less digits than its factorization.

4211328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1013 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 4211328 is about 2052.1520411509. The cubic root of 4211328 is about 161.4877893045.

The spelling of 4211328 in words is "four million, two hundred eleven thousand, three hundred twenty-eight".