628288 has 14 divisors (see below), whose sum is σ = 1246886. Its totient is φ = 314112.

The previous prime is 628267. The next prime is 628289. The reversal of 628288 is 882826.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 627264 + 1024 = 792^2 + 32^2 .

It is a d-powerful number, because it can be written as 6⁶ + 2¹⁴ + 2¹⁹ + 8⁴ + 8⁴ + 8⁵ .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (628289) by changing a digit.

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 as a sum of consecutive naturals, namely, 4845 + ... + 4972.

2⁶²⁸²⁸⁸ is an apocalyptic number.

It is an amenable number.

628288 is a deficient number, since it is larger than the sum of its proper divisors (618598).

628288 is an equidigital number, since it uses as much as digits as its factorization.

628288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9829 (or 9819 counting only the distinct ones).

The product of its digits is 12288, while the sum is 34.

The square root of 628288 is about 792.6462010254. The cubic root of 628288 is about 85.6484658721.

The spelling of 628288 in words is "six hundred twenty-eight thousand, two hundred eighty-eight".