828125568 has 96 divisors (see below), whose sum is σ = 2459995200. Its totient is φ = 267125760.

The previous prime is 828125567. The next prime is 828125579. The reversal of 828125568 is 865521828.

828125568 is a `hidden beast` number, since 8 + 2 + 81 + 2 + 5 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828125567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24118 + ... + 47306.

It is an arithmetic number, because the mean of its divisors is an integer number (25624950).

Almost surely, 2^828125568 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 828125568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229997600).

828125568 is an abundant number, since it is smaller than the sum of its proper divisors (1631869632).

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

828125568 is a wasteful number, since it uses less digits than its factorization.

828125568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23240 (or 23225 counting only the distinct ones).

The product of its digits is 307200, while the sum is 45.

The square root of 828125568 is about 28777.1709519890. The cubic root of 828125568 is about 939.0716532541.

The spelling of 828125568 in words is "eight hundred twenty-eight million, one hundred twenty-five thousand, five hundred sixty-eight".