4258128 has 160 divisors (see below), whose sum is σ = 14284800. Its totient is φ = 1064448.

The previous prime is 4258127. The next prime is 4258139. The reversal of 4258128 is 8218524.

It is a junction number, because it is equal to n+sod(n) for n = 4258095 and 4258104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4258127) 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, 146818 + ... + 146846.

It is an arithmetic number, because the mean of its divisors is an integer number (89280).

Almost surely, 2^4258128 is an apocalyptic number.

4258128 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 4258128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7142400).

4258128 is an abundant number, since it is smaller than the sum of its proper divisors (10026672).

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

4258128 is a wasteful number, since it uses less digits than its factorization.

4258128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 83 counting only the distinct ones).

The product of its digits is 5120, while the sum is 30.

The square root of 4258128 is about 2063.5232007419. The cubic root of 4258128 is about 162.0837853439.

The spelling of 4258128 in words is "four million, two hundred fifty-eight thousand, one hundred twenty-eight".