828008011 has 12 divisors (see below), whose sum is σ = 876452400. Its totient is φ = 782121168.

The previous prime is 828008003. The next prime is 828008023. The reversal of 828008011 is 110800828.

828008011 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 828008011 - 2³ = 828008003 is a prime.

It is a super-2 number, since 2×828008011² = 1371194532560352242, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (828008081) 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, 126405 + ... + 132793.

It is an arithmetic number, because the mean of its divisors is an integer number (73037700).

Almost surely, 2^828008011 is an apocalyptic number.

828008011 is a deficient number, since it is larger than the sum of its proper divisors (48444389).

828008011 is a wasteful number, since it uses less digits than its factorization.

828008011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6786 (or 6767 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 28.

The square root of 828008011 is about 28775.1283402872. The cubic root of 828008011 is about 939.0272156814.

Adding to 828008011 its reverse (110800828), we get a palindrome (938808839).

The spelling of 828008011 in words is "eight hundred twenty-eight million, eight thousand, eleven".