828633258 has 24 divisors (see below), whose sum is σ = 1797153696. Its totient is φ = 275937000.

The previous prime is 828633257. The next prime is 828633271. The reversal of 828633258 is 852336828.

828633258 is a `hidden beast` number, since 8 + 2 + 8 + 633 + 2 + 5 + 8 = 666.

828633258 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (828633257) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3768 + ... + 40883.

It is an arithmetic number, because the mean of its divisors is an integer number (74881404).

Almost surely, 2^828633258 is an apocalyptic number.

828633258 is an abundant number, since it is smaller than the sum of its proper divisors (968520438).

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

828633258 is a wasteful number, since it uses less digits than its factorization.

828633258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45690 (or 45687 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 828633258 is about 28785.9906551781. The cubic root of 828633258 is about 939.2635162245.

The spelling of 828633258 in words is "eight hundred twenty-eight million, six hundred thirty-three thousand, two hundred fifty-eight".