628419267441 has 45 divisors (see below), whose sum is σ = 1092101830281. Its totient is φ = 359068186008.

The previous prime is 628419267439. The next prime is 628419267451. The reversal of 628419267441 is 144762914826.

The square root of 628419267441 is 792729.

It is a perfect power (a square), and thus also a powerful number.

628419267441 is a `hidden beast` number, since 6 + 2 + 8 + 4 + 192 + 6 + 7 + 441 = 666.

It is not a de Polignac number, because 628419267441 - 2¹ = 628419267439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (628419267451) 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 in 44 ways as a sum of consecutive naturals, for example, 49935636 + ... + 49948218.

Almost surely, 2^628419267441 is an apocalyptic number.

628419267441 is the 792729-th square number.

628419267441 is the 396365-th centered octagonal number.

It is an amenable number.

628419267441 is a deficient number, since it is larger than the sum of its proper divisors (463682562840).

628419267441 is an frugal number, since it uses more digits than its factorization.

628419267441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25192 (or 12593 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 628419267441 in words is "six hundred twenty-eight billion, four hundred nineteen million, two hundred sixty-seven thousand, four hundred forty-one".