628403412961 has 9 divisors (see below), whose sum is σ = 629928329043. Its totient is φ = 626882185200.

The previous prime is 628403412943. The next prime is 628403412971. The reversal of 628403412961 is 169214304826.

The square root of 628403412961 is 792719.

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

It can be written as a sum of positive squares in only one way, i.e., 528193179361 + 100210233600 = 726769^2 + 316560^2 .

It is not a de Polignac number, because 628403412961 - 2⁹ = 628403412449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (628403412971) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 476423460 + ... + 476424778.

Almost surely, 2^628403412961 is an apocalyptic number.

628403412961 is the 792719-th square number.

628403412961 is the 396360-th centered octagonal number.

It is an amenable number.

628403412961 is a deficient number, since it is larger than the sum of its proper divisors (1524916082).

628403412961 is an frugal number, since it uses more digits than its factorization.

628403412961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3840 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 628403412961 in words is "six hundred twenty-eight billion, four hundred three million, four hundred twelve thousand, nine hundred sixty-one".