628849 has 9 divisors (see below), whose sum is σ = 692289. Its totient is φ = 570960.

The previous prime is 628841. The next prime is 628861. The reversal of 628849 is 948826.

The square root of 628849 is 793.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 442225 + 186624 = 665^2 + 432^2 .

It is not a de Polignac number, because 628849 - 2³ = 628841 is a prime.

628849 is a lucky number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (628841) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10279 + ... + 10339.

It is an arithmetic number, because the mean of its divisors is an integer number (76921).

2⁶²⁸⁸⁴⁹ is an apocalyptic number.

628849 is the 793-rd square number.

628849 is the 397-th centered octagonal number.

It is an amenable number.

628849 is a deficient number, since it is larger than the sum of its proper divisors (63440).

628849 is an equidigital number, since it uses as much as digits as its factorization.

628849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 74 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The cubic root of 628849 is about 85.6739502017.

It can be divided in two parts, 62 and 8849, that added together give a triangular number (8911 = T₁₃₃).

The spelling of 628849 in words is "six hundred twenty-eight thousand, eight hundred forty-nine".