828786282129 has 135 divisors (see below), whose sum is σ = 1390806900747. Its totient is φ = 491603580000.

The previous prime is 828786282127. The next prime is 828786282151. The reversal of 828786282129 is 921282687828.

The square root of 828786282129 is 910377.

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

828786282129 is a `hidden beast` number, since 82 + 87 + 86 + 282 + 129 = 666.

It can be written as a sum of positive squares in only one way, i.e., 122601521025 + 706184761104 = 350145^2 + 840348^2 .

It is not a de Polignac number, because 828786282129 - 2¹ = 828786282127 is a prime.

It is not an unprimeable number, because it can be changed into a prime (828786282127) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3301937254 + ... + 3301937504.

Almost surely, 2^828786282129 is an apocalyptic number.

828786282129 is the 910377-th square number.

828786282129 is the 455189-th centered octagonal number.

It is an amenable number.

828786282129 is a deficient number, since it is larger than the sum of its proper divisors (562020618618).

828786282129 is an equidigital number, since it uses as much as digits as its factorization.

828786282129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 298 counting only the distinct ones).

The product of its digits is 24772608, while the sum is 63.

The spelling of 828786282129 in words is "eight hundred twenty-eight billion, seven hundred eighty-six million, two hundred eighty-two thousand, one hundred twenty-nine".