828289011 has 32 divisors (see below), whose sum is σ = 1306803456. Its totient is φ = 460928000.

The previous prime is 828289003. The next prime is 828289057. The reversal of 828289011 is 110982828.

It is a cyclic number.

It is not a de Polignac number, because 828289011 - 2³ = 828289003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (828289411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4996 + ... + 41006.

It is an arithmetic number, because the mean of its divisors is an integer number (40837608).

Almost surely, 2^828289011 is an apocalyptic number.

828289011 is a deficient number, since it is larger than the sum of its proper divisors (478514445).

828289011 is a wasteful number, since it uses less digits than its factorization.

828289011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36083.

The product of its (nonzero) digits is 18432, while the sum is 39.

The square root of 828289011 is about 28780.0106150085. The cubic root of 828289011 is about 939.1334291481.

The spelling of 828289011 in words is "eight hundred twenty-eight million, two hundred eighty-nine thousand, eleven".