828415257 has 16 divisors (see below), whose sum is σ = 1166848320. Its totient is φ = 521337600.

The previous prime is 828415249. The next prime is 828415261. The reversal of 828415257 is 752514828.

It is not a de Polignac number, because 828415257 - 2³ = 828415249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (828415207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9844 + ... + 41877.

It is an arithmetic number, because the mean of its divisors is an integer number (72928020).

Almost surely, 2^828415257 is an apocalyptic number.

It is an amenable number.

828415257 is a deficient number, since it is larger than the sum of its proper divisors (338433063).

828415257 is a wasteful number, since it uses less digits than its factorization.

828415257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52024.

The product of its digits is 179200, while the sum is 42.

The square root of 828415257 is about 28782.2038245858. The cubic root of 828415257 is about 939.1811402788.

The spelling of 828415257 in words is "eight hundred twenty-eight million, four hundred fifteen thousand, two hundred fifty-seven".