828827407109 has 16 divisors (see below), whose sum is σ = 939624430080. Its totient is φ = 724755936960.

The previous prime is 828827407091. The next prime is 828827407117. The reversal of 828827407109 is 901704728828.

828827407109 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 828827407109 - 2²⁴ = 828810629893 is a prime.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828827407159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3862604 + ... + 4071530.

It is an arithmetic number, because the mean of its divisors is an integer number (58726526880).

Almost surely, 2^828827407109 is an apocalyptic number.

It is an amenable number.

828827407109 is a deficient number, since it is larger than the sum of its proper divisors (110797022971).

828827407109 is a wasteful number, since it uses less digits than its factorization.

828827407109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225020.

The product of its (nonzero) digits is 3612672, while the sum is 56.

The spelling of 828827407109 in words is "eight hundred twenty-eight billion, eight hundred twenty-seven million, four hundred seven thousand, one hundred nine".