4628628 has 72 divisors (see below), whose sum is σ = 12623520. Its totient is φ = 1425600.

The previous prime is 4628627. The next prime is 4628629. The reversal of 4628628 is 8268264.

4628628 is a `hidden beast` number, since 4 + 6 + 28 + 628 = 666.

It is an interprime number because it is at equal distance from previous prime (4628627) and next prime (4628629).

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

Its product of digits (36864) is a multiple of the sum of its prime divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 4628592 and 4628601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4628621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45778 + ... + 45878.

Almost surely, 2^4628628 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 4628628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6311760).

4628628 is an abundant number, since it is smaller than the sum of its proper divisors (7994892).

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

4628628 is a wasteful number, since it uses less digits than its factorization.

4628628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 192 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 4628628 is about 2151.4246442764. The cubic root of 4628628 is about 166.6546462442.

The spelling of 4628628 in words is "four million, six hundred twenty-eight thousand, six hundred twenty-eight".