4838688 has 72 divisors (see below), whose sum is σ = 14063868. Its totient is φ = 1577472.

The previous prime is 4838683. The next prime is 4838689. The reversal of 4838688 is 8868384.

It can be written as a sum of positive squares in 2 ways, for example, as 4717584 + 121104 = 2172^2 + 348^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×4838688² = 46825803122688, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4838681) 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, 15106 + ... + 15422.

Almost surely, 2^4838688 is an apocalyptic number.

4838688 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 4838688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7031934).

4838688 is an abundant number, since it is smaller than the sum of its proper divisors (9225180).

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

4838688 is a wasteful number, since it uses less digits than its factorization.

4838688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 375 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 4838688 is about 2199.7017979717. The cubic root of 4838688 is about 169.1385253595.

The spelling of 4838688 in words is "four million, eight hundred thirty-eight thousand, six hundred eighty-eight".