4657128 has 64 divisors (see below), whose sum is σ = 14016000. Its totient is φ = 1259712.

The previous prime is 4657123. The next prime is 4657141. The reversal of 4657128 is 8217564.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4657123) 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, 2463 + ... + 3921.

It is an arithmetic number, because the mean of its divisors is an integer number (219000).

Almost surely, 2^4657128 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 4657128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7008000).

4657128 is an abundant number, since it is smaller than the sum of its proper divisors (9358872).

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

4657128 is a wasteful number, since it uses less digits than its factorization.

4657128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1490 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 4657128 is about 2158.0379978119. The cubic root of 4657128 is about 166.9959959359.

The spelling of 4657128 in words is "four million, six hundred fifty-seven thousand, one hundred twenty-eight".