628311 has 16 divisors (see below), whose sum is σ = 899840. Its totient is φ = 388800.

The previous prime is 628301. The next prime is 628319. The reversal of 628311 is 113826.

628311 = T₉₃ + T₉₄ + ... + T₁₆₅.

It is not a de Polignac number, because 628311 - 2⁷ = 628183 is a prime.

It is a super-3 number, since 3×628311³ = 744123883573332693, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628319) 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 15 ways as a sum of consecutive naturals, for example, 4086 + ... + 4236.

It is an arithmetic number, because the mean of its divisors is an integer number (56240).

2⁶²⁸³¹¹ is an apocalyptic number.

628311 is a deficient number, since it is larger than the sum of its proper divisors (271529).

628311 is a wasteful number, since it uses less digits than its factorization.

628311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246.

The product of its digits is 288, while the sum is 21.

The square root of 628311 is about 792.6607092571. The cubic root of 628311 is about 85.6495109824.

It can be divided in two parts, 628 and 311, that added together give a palindrome (939).

The spelling of 628311 in words is "six hundred twenty-eight thousand, three hundred eleven".