8826728064 has 256 divisors, whose sum is σ = 29458252800. Its totient is φ = 2274877440.

The previous prime is 8826728063. The next prime is 8826728069. The reversal of 8826728064 is 4608276288.

It is a super-2 number, since 2×8826728064² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8826727998 and 8826728016.

It is not an unprimeable number, because it can be changed into a prime (8826728063) 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 31 ways as a sum of consecutive naturals, for example, 4049727 + ... + 4051905.

It is an arithmetic number, because the mean of its divisors is an integer number (115071300).

Almost surely, 2^8826728064 is an apocalyptic number.

8826728064 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8826728064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14729126400).

8826728064 is an abundant number, since it is smaller than the sum of its proper divisors (20631524736).

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

8826728064 is a wasteful number, since it uses less digits than its factorization.

8826728064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The square root of 8826728064 is about 93950.6682466921. The cubic root of 8826728064 is about 2066.6483341188.

It can be divided in two parts, 882 and 6728064, that added together give a triangular number (6728946 = T₃₆₆₈).

The spelling of 8826728064 in words is "eight billion, eight hundred twenty-six million, seven hundred twenty-eight thousand, sixty-four".