628032 has 28 divisors (see below), whose sum is σ = 1662176. Its totient is φ = 209280.

The previous prime is 628021. The next prime is 628037. The reversal of 628032 is 230826.

It is a nialpdrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 628032.

It is not an unprimeable number, because it can be changed into a prime (628037) by changing a digit.

628032 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1444 + ... + 1827.

2⁶²⁸⁰³² is an apocalyptic number.

It is an amenable number.

628032 is an abundant number, since it is smaller than the sum of its proper divisors (1034144).

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

628032 is a wasteful number, since it uses less digits than its factorization.

628032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3286 (or 3276 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 628032 is about 792.4847001678. The cubic root of 628032 is about 85.6368316185.

Adding to 628032 its reverse (230826), we get a palindrome (858858).

The spelling of 628032 in words is "six hundred twenty-eight thousand, thirty-two".