428410829961 has 27 divisors (see below), whose sum is σ = 653155938669. Its totient is φ = 270551697912.

The previous prime is 428410829947. The next prime is 428410830053. The reversal of 428410829961 is 169928014824.

It is a happy number.

The square root of 428410829961 is 654531.

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

428410829961 is a `hidden beast` number, since 4 + 2 + 8 + 410 + 82 + 99 + 61 = 666.

It is not a de Polignac number, because 428410829961 - 2⁹ = 428410829449 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 428410829898 and 428410829907.

It is not an unprimeable number, because it can be changed into a prime (428410821961) 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, 37302526 + ... + 37314008.

Almost surely, 2^428410829961 is an apocalyptic number.

428410829961 is the 654531-st square number.

428410829961 is the 327266-th centered octagonal number.

It is an amenable number.

428410829961 is a deficient number, since it is larger than the sum of its proper divisors (224745108708).

428410829961 is an frugal number, since it uses more digits than its factorization.

428410829961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23010 (or 11505 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 428410829961 in words is "four hundred twenty-eight billion, four hundred ten million, eight hundred twenty-nine thousand, nine hundred sixty-one".