828536064 has 72 divisors (see below), whose sum is σ = 2212180320. Its totient is φ = 275294208.

The previous prime is 828536053. The next prime is 828536081. The reversal of 828536064 is 460635828.

It is a super-2 number, since 2×828536064² = 1372944018697224192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 264942 + ... + 268050.

Almost surely, 2^828536064 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 828536064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106090160).

828536064 is an abundant number, since it is smaller than the sum of its proper divisors (1383644256).

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

828536064 is a wasteful number, since it uses less digits than its factorization.

828536064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3475 (or 3461 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 828536064 is about 28784.3023886284. The cubic root of 828536064 is about 939.2267913538.

The spelling of 828536064 in words is "eight hundred twenty-eight million, five hundred thirty-six thousand, sixty-four".