828428085 has 12 divisors (see below), whose sum is σ = 1435942092. Its totient is φ = 441828288.

The previous prime is 828428077. The next prime is 828428093. The reversal of 828428085 is 580824828.

828428085 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (828428077) and next prime (828428093).

It can be written as a sum of positive squares in 2 ways, for example, as 257313681 + 571114404 = 16041^2 + 23898^2 .

It is not a de Polignac number, because 828428085 - 2³ = 828428077 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 18409513 = 828428085 / (8 + 2 + 8 + 4 + 2 + 8 + 0 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 828428085.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9204712 + ... + 9204801.

It is an arithmetic number, because the mean of its divisors is an integer number (119661841).

Almost surely, 2^828428085 is an apocalyptic number.

It is an amenable number.

828428085 is a deficient number, since it is larger than the sum of its proper divisors (607514007).

828428085 is a wasteful number, since it uses less digits than its factorization.

828428085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18409524 (or 18409521 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The square root of 828428085 is about 28782.4266697581. The cubic root of 828428085 is about 939.1859879899.

The spelling of 828428085 in words is "eight hundred twenty-eight million, four hundred twenty-eight thousand, eighty-five".