4813728 has 48 divisors (see below), whose sum is σ = 12954816. Its totient is φ = 1564160.

The previous prime is 4813723. The next prime is 4813741. The reversal of 4813728 is 8273184.

4813728 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (4813723) 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, 3325 + ... + 4547.

It is an arithmetic number, because the mean of its divisors is an integer number (269892).

Almost surely, 2^4813728 is an apocalyptic number.

4813728 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 4813728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6477408).

4813728 is an abundant number, since it is smaller than the sum of its proper divisors (8141088).

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

4813728 is a wasteful number, since it uses less digits than its factorization.

4813728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1269 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 4813728 is about 2194.0209661715. The cubic root of 4813728 is about 168.8471944885.

The spelling of 4813728 in words is "four million, eight hundred thirteen thousand, seven hundred twenty-eight".