828921009 has 32 divisors (see below), whose sum is σ = 1300234240. Its totient is φ = 459950400.

The previous prime is 828920987. The next prime is 828921011. The reversal of 828921009 is 900129828.

It is not a de Polignac number, because 828921009 - 2⁵ = 828920977 is a prime.

It is a super-2 number, since 2×828921009² = 1374220078323156162, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (828921029) 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 31 ways as a sum of consecutive naturals, for example, 97104 + ... + 105294.

It is an arithmetic number, because the mean of its divisors is an integer number (40632320).

Almost surely, 2^828921009 is an apocalyptic number.

It is an amenable number.

828921009 is a deficient number, since it is larger than the sum of its proper divisors (471313231).

828921009 is a wasteful number, since it uses less digits than its factorization.

828921009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8341.

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 828921009 is about 28790.9883296840. The cubic root of 828921009 is about 939.3722264548.

The spelling of 828921009 in words is "eight hundred twenty-eight million, nine hundred twenty-one thousand, nine".