4963728 has 160 divisors (see below), whose sum is σ = 17141760. Its totient is φ = 1198080.

The previous prime is 4963723. The next prime is 4963771. The reversal of 4963728 is 8273694.

4963728 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4963723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62793 + ... + 62871.

It is an arithmetic number, because the mean of its divisors is an integer number (107136).

Almost surely, 2^4963728 is an apocalyptic number.

4963728 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 4963728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8570880).

4963728 is an abundant number, since it is smaller than the sum of its proper divisors (12178032).

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

4963728 is a wasteful number, since it uses less digits than its factorization.

4963728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 119 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 4963728 is about 2227.9425486309. The cubic root of 4963728 is about 170.5830957487.

It can be divided in two parts, 496 and 3728, that added together give a palindrome (4224).

The spelling of 4963728 in words is "four million, nine hundred sixty-three thousand, seven hundred twenty-eight".