628801 has 2 divisors, whose sum is σ = 628802. Its totient is φ = 628800.

The previous prime is 628799. The next prime is 628811. The reversal of 628801 is 108826.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 331776 + 297025 = 576^2 + 545^2 .

It is a cyclic number.

It is not a de Polignac number, because 628801 - 2¹ = 628799 is a prime.

Together with 628799, it forms a pair of twin primes.

It is a nialpdrome in base 16.

It is not a weakly prime, because it can be changed into another prime (628811) 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, 314400 + 314401.

It is an arithmetic number, because the mean of its divisors is an integer number (314401).

2⁶²⁸⁸⁰¹ is an apocalyptic number.

It is an amenable number.

628801 is a deficient number, since it is larger than the sum of its proper divisors (1).

628801 is an equidigital number, since it uses as much as digits as its factorization.

628801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 628801 is about 792.9697346053. The cubic root of 628801 is about 85.6717703174.

Adding to 628801 its sum of digits (25), we get a palindrome (628826).

The spelling of 628801 in words is "six hundred twenty-eight thousand, eight hundred one".