477628 has 12 divisors (see below), whose sum is σ = 845152. Its totient is φ = 236160.

The previous prime is 477623. The next prime is 477637. The reversal of 477628 is 826774.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 477593 and 477602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477623) by changing a digit.

477628 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 228 + ... + 1003.

2⁴⁷⁷⁶²⁸ is an apocalyptic number.

It is an amenable number.

477628 is a deficient number, since it is larger than the sum of its proper divisors (367524).

477628 is a wasteful number, since it uses less digits than its factorization.

477628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1330 counting only the distinct ones).

The product of its digits is 18816, while the sum is 34.

The square root of 477628 is about 691.1063593977. The cubic root of 477628 is about 78.1681666513.

The spelling of 477628 in words is "four hundred seventy-seven thousand, six hundred twenty-eight".