4657728 has 56 divisors (see below), whose sum is σ = 13057632. Its totient is φ = 1460224.

The previous prime is 4657727. The next prime is 4657729. The reversal of 4657728 is 8277564.

4657728 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4657727) and next prime (4657729).

It is not an unprimeable number, because it can be changed into a prime (4657727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2551 + ... + 3977.

It is an arithmetic number, because the mean of its divisors is an integer number (233172).

Almost surely, 2^4657728 is an apocalyptic number.

4657728 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 4657728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6528816).

4657728 is an abundant number, since it is smaller than the sum of its proper divisors (8399904).

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

4657728 is a wasteful number, since it uses less digits than its factorization.

4657728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1449 counting only the distinct ones).

The product of its digits is 94080, while the sum is 39.

The square root of 4657728 is about 2158.1770084958. The cubic root of 4657728 is about 167.0031672580.

The spelling of 4657728 in words is "four million, six hundred fifty-seven thousand, seven hundred twenty-eight".