428806257889 has 27 divisors (see below), whose sum is σ = 455799709267. Its totient is φ = 403377128000.

The previous prime is 428806257863. The next prime is 428806257899. The reversal of 428806257889 is 988752608824.

The square root of 428806257889 is 654833.

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., 424539555489 + 4266702400 = 651567^2 + 65320^2 .

It is not a de Polignac number, because 428806257889 - 2³⁵ = 394446519521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (428806257899) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1069342089 + ... + 1069342489.

Almost surely, 2^428806257889 is an apocalyptic number.

428806257889 is the 654833-rd square number.

428806257889 is the 327417-th centered octagonal number.

It is an amenable number.

428806257889 is a deficient number, since it is larger than the sum of its proper divisors (26993451378).

428806257889 is an frugal number, since it uses more digits than its factorization.

428806257889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 67.

The spelling of 428806257889 in words is "four hundred twenty-eight billion, eight hundred six million, two hundred fifty-seven thousand, eight hundred eighty-nine".