4556628 has 48 divisors (see below), whose sum is σ = 12203520. Its totient is φ = 1468800.

The previous prime is 4556627. The next prime is 4556653. The reversal of 4556628 is 8266554.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4556592 and 4556601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4556621) 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, 2668 + ... + 4028.

It is an arithmetic number, because the mean of its divisors is an integer number (254240).

Almost surely, 2^4556628 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 4556628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6101760).

4556628 is an abundant number, since it is smaller than the sum of its proper divisors (7646892).

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

4556628 is a wasteful number, since it uses less digits than its factorization.

4556628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1397 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 4556628 is about 2134.6259625518. The cubic root of 4556628 is about 165.7860018846.

It can be divided in two parts, 4556 and 628, that added together give a square (5184 = 72²).

The spelling of 4556628 in words is "four million, five hundred fifty-six thousand, six hundred twenty-eight".