628633 has 8 divisors (see below), whose sum is σ = 664200. Its totient is φ = 594048.

The previous prime is 628591. The next prime is 628651. The reversal of 628633 is 336826.

628633 is nontrivially palindromic in base 16.

It can be written as a sum of positive squares in 4 ways, for example, as 300304 + 328329 = 548^2 + 573^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 628633 - 2¹³ = 620441 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628673) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1333 + ... + 1741.

It is an arithmetic number, because the mean of its divisors is an integer number (83025).

2⁶²⁸⁶³³ is an apocalyptic number.

It is an amenable number.

628633 is a deficient number, since it is larger than the sum of its proper divisors (35567).

628633 is a wasteful number, since it uses less digits than its factorization.

628633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491.

The product of its digits is 5184, while the sum is 28.

The square root of 628633 is about 792.8637966259. The cubic root of 628633 is about 85.6641398485.

The spelling of 628633 in words is "six hundred twenty-eight thousand, six hundred thirty-three".