4588728 has 64 divisors (see below), whose sum is σ = 12528000. Its totient is φ = 1395072.

The previous prime is 4588711. The next prime is 4588769. The reversal of 4588728 is 8278854.

It is a d-powerful number, because it can be written as 4¹¹ + 5⁴ + 8² + 8³ + 7 + 2¹⁷ + 8⁶ .

It is a self number, because there is not a number n which added to its sum of digits gives 4588728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13051 + ... + 13397.

It is an arithmetic number, because the mean of its divisors is an integer number (195750).

Almost surely, 2^4588728 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 4588728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6264000).

4588728 is an abundant number, since it is smaller than the sum of its proper divisors (7939272).

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

4588728 is a wasteful number, since it uses less digits than its factorization.

4588728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 400 counting only the distinct ones).

The product of its digits is 143360, while the sum is 42.

The square root of 4588728 is about 2142.1316486155. The cubic root of 4588728 is about 166.1743945516.

The spelling of 4588728 in words is "four million, five hundred eighty-eight thousand, seven hundred twenty-eight".