4628 has 12 divisors (see below), whose sum is σ = 8820. Its totient is φ = 2112.

The previous prime is 4621. The next prime is 4637. The reversal of 4628 is 8264.

4628 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 2 ways, for example, as 784 + 3844 = 28^2 + 62^2 .

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4621) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8 + ... + 96.

It is an arithmetic number, because the mean of its divisors is an integer number (735).

4628 is a Friedman number, since it can be written as 68^2+4, using all its digits and the basic arithmetic operations.

2⁴⁶²⁸ is an apocalyptic number.

It is an amenable number.

4628 is a deficient number, since it is larger than the sum of its proper divisors (4192).

4628 is a wasteful number, since it uses less digits than its factorization.

4628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 104 counting only the distinct ones).

The product of its digits is 384, while the sum is 20.

The square root of 4628 is about 68.0294054068. The cubic root of 4628 is about 16.6647108816.

The spelling of 4628 in words is "four thousand, six hundred twenty-eight".