4382688 has 48 divisors (see below), whose sum is σ = 11684736. Its totient is φ = 1438080.

The previous prime is 4382663. The next prime is 4382699. The reversal of 4382688 is 8862834.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

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, 6495 + ... + 7137.

It is an arithmetic number, because the mean of its divisors is an integer number (243432).

Almost surely, 2^4382688 is an apocalyptic number.

4382688 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 4382688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5842368).

4382688 is an abundant number, since it is smaller than the sum of its proper divisors (7302048).

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

4382688 is a wasteful number, since it uses less digits than its factorization.

With its successor (4382689) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (719).

4382688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 719 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 4382688 is about 2093.4870431889. The cubic root of 4382688 is about 163.6490611920.

The spelling of 4382688 in words is "four million, three hundred eighty-two thousand, six hundred eighty-eight".