4768728 has 64 divisors (see below), whose sum is σ = 12752640. Its totient is φ = 1482624.

The previous prime is 4768727. The next prime is 4768747. The reversal of 4768728 is 8278674.

It is a super-3 number, since 3×4768728³ (a number of 21 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4768728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4768727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29175 + ... + 29337.

It is an arithmetic number, because the mean of its divisors is an integer number (199260).

Almost surely, 2^4768728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4768728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6376320).

4768728 is an abundant number, since it is smaller than the sum of its proper divisors (7983912).

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

4768728 is a wasteful number, since it uses less digits than its factorization.

4768728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 244 counting only the distinct ones).

The product of its digits is 150528, while the sum is 42.

The square root of 4768728 is about 2183.7417429724. The cubic root of 4768728 is about 168.3194036987.

The spelling of 4768728 in words is "four million, seven hundred sixty-eight thousand, seven hundred twenty-eight".