828049041 has 16 divisors (see below), whose sum is σ = 1227182400. Its totient is φ = 551833344.

The previous prime is 828049031. The next prime is 828049043. The reversal of 828049041 is 140940828.

It is not a de Polignac number, because 828049041 - 2⁵ = 828049009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 828048987 and 828049005.

It is not an unprimeable number, because it can be changed into a prime (828049043) 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, 145905 + ... + 151473.

It is an arithmetic number, because the mean of its divisors is an integer number (76698900).

Almost surely, 2^828049041 is an apocalyptic number.

It is an amenable number.

828049041 is a deficient number, since it is larger than the sum of its proper divisors (399133359).

828049041 is a wasteful number, since it uses less digits than its factorization.

828049041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11085 (or 11079 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 828049041 is about 28775.8412735406. The cubic root of 828049041 is about 939.0427258575.

Adding to 828049041 its reverse (140940828), we get a palindrome (968989869).

The spelling of 828049041 in words is "eight hundred twenty-eight million, forty-nine thousand, forty-one".