828240853 has 16 divisors (see below), whose sum is σ = 916418880. Its totient is φ = 742262400.

The previous prime is 828240827. The next prime is 828240863. The reversal of 828240853 is 358042828.

It is not a de Polignac number, because 828240853 - 2²⁹ = 291369941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828240863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387598 + ... + 389728.

It is an arithmetic number, because the mean of its divisors is an integer number (57276180).

Almost surely, 2^828240853 is an apocalyptic number.

It is an amenable number.

828240853 is a deficient number, since it is larger than the sum of its proper divisors (88178027).

828240853 is a wasteful number, since it uses less digits than its factorization.

828240853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2628.

The product of its (nonzero) digits is 122880, while the sum is 40.

The square root of 828240853 is about 28779.1739457546. The cubic root of 828240853 is about 939.1152279069.

The spelling of 828240853 in words is "eight hundred twenty-eight million, two hundred forty thousand, eight hundred fifty-three".