628627329 has 48 divisors (see below), whose sum is σ = 1053336960. Its totient is φ = 357477120.

The previous prime is 628627313. The next prime is 628627379. The reversal of 628627329 is 923726826.

It is not a de Polignac number, because 628627329 - 2⁴ = 628627313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (628627379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118077 + ... + 123285.

It is an arithmetic number, because the mean of its divisors is an integer number (21944520).

Almost surely, 2^628627329 is an apocalyptic number.

628627329 is a gapful number since it is divisible by the number (69) formed by its first and last digit.

It is an amenable number.

628627329 is a deficient number, since it is larger than the sum of its proper divisors (424709631).

628627329 is a wasteful number, since it uses less digits than its factorization.

628627329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5302 (or 5299 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 628627329 is about 25072.4416242216. The cubic root of 628627329 is about 856.6388225106.

The spelling of 628627329 in words is "six hundred twenty-eight million, six hundred twenty-seven thousand, three hundred twenty-nine".