628632257 has 16 divisors (see below), whose sum is σ = 714858432. Its totient is φ = 547715520.

The previous prime is 628632253. The next prime is 628632269. The reversal of 628632257 is 752236826.

It is not a de Polignac number, because 628632257 - 2² = 628632253 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (628632253) 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 15 ways as a sum of consecutive naturals, for example, 15743 + ... + 38795.

It is an arithmetic number, because the mean of its divisors is an integer number (44678652).

Almost surely, 2^628632257 is an apocalyptic number.

628632257 is a gapful number since it is divisible by the number (67) formed by its first and last digit.

It is an amenable number.

628632257 is a deficient number, since it is larger than the sum of its proper divisors (86226175).

628632257 is a wasteful number, since it uses less digits than its factorization.

628632257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23168.

The product of its digits is 241920, while the sum is 41.

The square root of 628632257 is about 25072.5398992603. The cubic root of 628632257 is about 856.6410609885.

The spelling of 628632257 in words is "six hundred twenty-eight million, six hundred thirty-two thousand, two hundred fifty-seven".