828461089 has 9 divisors (see below), whose sum is σ = 839396467. Its totient is φ = 817667464.

The previous prime is 828461087. The next prime is 828461093. The reversal of 828461089 is 980164828.

The square root of 828461089 is 28783.

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., 54508689 + 773952400 = 7383^2 + 27820^2 .

It is not a de Polignac number, because 828461089 - 2¹ = 828461087 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (828461087) 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, 3079647 + ... + 3079915.

Almost surely, 2^828461089 is an apocalyptic number.

828461089 is the 28783-rd square number.

828461089 is the 14392-nd centered octagonal number.

It is an amenable number.

828461089 is a deficient number, since it is larger than the sum of its proper divisors (10935378).

828461089 is an frugal number, since it uses more digits than its factorization.

828461089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 46.

The cubic root of 828461089 is about 939.1984599969.

The spelling of 828461089 in words is "eight hundred twenty-eight million, four hundred sixty-one thousand, eighty-nine".