828567656 has 96 divisors (see below), whose sum is σ = 1939140000. Its totient is φ = 329906304.

The previous prime is 828567629. The next prime is 828567667. The reversal of 828567656 is 656765828.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a junction number, because it is equal to n+sod(n) for n = 828567598 and 828567607.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 393695 + ... + 395793.

It is an arithmetic number, because the mean of its divisors is an integer number (20199375).

Almost surely, 2^828567656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828567656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969570000).

828567656 is an abundant number, since it is smaller than the sum of its proper divisors (1110572344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

828567656 is a wasteful number, since it uses less digits than its factorization.

828567656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191 (or 2180 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 53.

The square root of 828567656 is about 28784.8511547307. The cubic root of 828567656 is about 939.2387287443.

The spelling of 828567656 in words is "eight hundred twenty-eight million, five hundred sixty-seven thousand, six hundred fifty-six".