829428386567 has 16 divisors (see below), whose sum is σ = 912485430528. Its totient is φ = 747668465280.

The previous prime is 829428386491. The next prime is 829428386569. The reversal of 829428386567 is 765683824928.

It is not a de Polignac number, because 829428386567 - 2¹⁸ = 829428124423 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 829428386497 and 829428386506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829428386569) 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, 242198 + ... + 1310540.

It is an arithmetic number, because the mean of its divisors is an integer number (57030339408).

Almost surely, 2^829428386567 is an apocalyptic number.

829428386567 is a deficient number, since it is larger than the sum of its proper divisors (83057043961).

829428386567 is a wasteful number, since it uses less digits than its factorization.

829428386567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068950.

The product of its digits is 278691840, while the sum is 68.

The spelling of 829428386567 in words is "eight hundred twenty-nine billion, four hundred twenty-eight million, three hundred eighty-six thousand, five hundred sixty-seven".