828130095 has 128 divisors (see below), whose sum is σ = 1722228480. Its totient is φ = 373800960.

The previous prime is 828130081. The next prime is 828130099. The reversal of 828130095 is 590031828.

828130095 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 828130095 - 2¹¹ = 828128047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828130099) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1222897 + ... + 1223573.

It is an arithmetic number, because the mean of its divisors is an integer number (13454910).

Almost surely, 2^828130095 is an apocalyptic number.

828130095 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

828130095 is an abundant number, since it is smaller than the sum of its proper divisors (894098385).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

828130095 is a wasteful number, since it uses less digits than its factorization.

828130095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 828130095 is about 28777.2496079803. The cubic root of 828130095 is about 939.0733644156.

The spelling of 828130095 in words is "eight hundred twenty-eight million, one hundred thirty thousand, ninety-five".