428083626961 has 9 divisors (see below), whose sum is σ = 447520922121. Its totient is φ = 409456901172.

The previous prime is 428083626941. The next prime is 428083626973. The reversal of 428083626961 is 169626380824.

The square root of 428083626961 is 654281.

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

It is not a de Polignac number, because 428083626961 - 2³³ = 419493692369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (428083626941) 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, 15034240 + ... + 15062686.

Almost surely, 2^428083626961 is an apocalyptic number.

428083626961 is the 654281-st square number.

428083626961 is the 327141-st centered octagonal number.

It is an amenable number.

428083626961 is a deficient number, since it is larger than the sum of its proper divisors (19437295160).

428083626961 is an frugal number, since it uses more digits than its factorization.

428083626961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56940 (or 28470 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 55.

The spelling of 428083626961 in words is "four hundred twenty-eight billion, eighty-three million, six hundred twenty-six thousand, nine hundred sixty-one".