4633620228 has 84 divisors (see below), whose sum is σ = 12278845068. Its totient is φ = 1529150400.

The previous prime is 4633620217. The next prime is 4633620239. The reversal of 4633620228 is 8220263364.

4633620228 is a `hidden beast` number, since 4 + 6 + 3 + 3 + 620 + 2 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (4633620217) and next prime (4633620239).

It can be written as a sum of positive squares in 2 ways, for example, as 2615095044 + 2018525184 = 51138^2 + 44928^2 .

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 = 4633620192 and 4633620201.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 286650 + ... + 302382.

It is an arithmetic number, because the mean of its divisors is an integer number (146176727).

Almost surely, 2^4633620228 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 4633620228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6139422534).

4633620228 is an abundant number, since it is smaller than the sum of its proper divisors (7645224840).

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

4633620228 is a wasteful number, since it uses less digits than its factorization.

4633620228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15856 (or 15839 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 4633620228 is about 68070.7002167599. The cubic root of 4633620228 is about 1667.1454009460.

It can be divided in two parts, 46336 and 20228, that added together give a square (66564 = 258²).

The spelling of 4633620228 in words is "four billion, six hundred thirty-three million, six hundred twenty thousand, two hundred twenty-eight".