628309337 has 2 divisors, whose sum is σ = 628309338. Its totient is φ = 628309336.

The previous prime is 628309303. The next prime is 628309351. The reversal of 628309337 is 733903826.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 610534681 + 17774656 = 24709^2 + 4216^2 .

It is a cyclic number.

It is not a de Polignac number, because 628309337 - 2¹⁶ = 628243801 is a prime.

It is a super-2 number, since 2×628309337² = 789545245922759138, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 628309294 and 628309303.

It is not a weakly prime, because it can be changed into another prime (628309387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 314154668 + 314154669.

It is an arithmetic number, because the mean of its divisors is an integer number (314154669).

Almost surely, 2^628309337 is an apocalyptic number.

It is an amenable number.

628309337 is a deficient number, since it is larger than the sum of its proper divisors (1).

628309337 is an equidigital number, since it uses as much as digits as its factorization.

628309337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 163296, while the sum is 41.

The square root of 628309337 is about 25066.0993574988. The cubic root of 628309337 is about 856.4943541720.

The spelling of 628309337 in words is "six hundred twenty-eight million, three hundred nine thousand, three hundred thirty-seven".