628427633 has 2 divisors, whose sum is σ = 628427634. Its totient is φ = 628427632.

The previous prime is 628427621. The next prime is 628427669. The reversal of 628427633 is 336724826.

628427633 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 425308129 + 203119504 = 20623^2 + 14252^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-628427633 is a prime.

It is a super-3 number, since 3×628427633³ (a number of 27 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (628427693) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 314213816 + 314213817.

It is an arithmetic number, because the mean of its divisors is an integer number (314213817).

Almost surely, 2^628427633 is an apocalyptic number.

It is an amenable number.

628427633 is a deficient number, since it is larger than the sum of its proper divisors (1).

628427633 is an equidigital number, since it uses as much as digits as its factorization.

628427633 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 290304, while the sum is 41.

The square root of 628427633 is about 25068.4589275049. The cubic root of 628427633 is about 856.5481034386.

The spelling of 628427633 in words is "six hundred twenty-eight million, four hundred twenty-seven thousand, six hundred thirty-three".