828048564 has 72 divisors (see below), whose sum is σ = 2469329408. Its totient is φ = 228951360.

The previous prime is 828048547. The next prime is 828048569. The reversal of 828048564 is 465840828.

828048564 is a `hidden beast` number, since 8 + 2 + 80 + 4 + 8 + 564 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828048569) by changing a digit.

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, 45187 + ... + 60810.

Almost surely, 2^828048564 is an apocalyptic number.

828048564 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

828048564 is an abundant number, since it is smaller than the sum of its proper divisors (1641280844).

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

828048564 is a wasteful number, since it uses less digits than its factorization.

828048564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106045 (or 106040 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 828048564 is about 28775.8329853368. The cubic root of 828048564 is about 939.0425455448.

The spelling of 828048564 in words is "eight hundred twenty-eight million, forty-eight thousand, five hundred sixty-four".