628641 has 24 divisors (see below), whose sum is σ = 1019200. Its totient is φ = 384912.

The previous prime is 628591. The next prime is 628651. The reversal of 628641 is 146826.

628641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 628641 - 2¹⁰ = 627617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (628651) 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, 3060 + ... + 3258.

2⁶²⁸⁶⁴¹ is an apocalyptic number.

It is an amenable number.

628641 is a deficient number, since it is larger than the sum of its proper divisors (390559).

628641 is a wasteful number, since it uses less digits than its factorization.

628641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 215 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 628641 is about 792.8688416125. The cubic root of 628641 is about 85.6645032350.

The spelling of 628641 in words is "six hundred twenty-eight thousand, six hundred forty-one".