4772628 has 96 divisors (see below), whose sum is σ = 14515200. Its totient is φ = 1327968.

The previous prime is 4772623. The next prime is 4772653. The reversal of 4772628 is 8262774.

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 = 4772592 and 4772601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4772623) 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, 44551 + ... + 44657.

It is an arithmetic number, because the mean of its divisors is an integer number (151200).

Almost surely, 2^4772628 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 4772628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7257600).

4772628 is an abundant number, since it is smaller than the sum of its proper divisors (9742572).

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

4772628 is a wasteful number, since it uses less digits than its factorization.

4772628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 178 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 4772628 is about 2184.6345232098. The cubic root of 4772628 is about 168.3652766445.

The spelling of 4772628 in words is "four million, seven hundred seventy-two thousand, six hundred twenty-eight".