8056528704 has 224 divisors, whose sum is σ = 27414118400. Its totient is φ = 2272458240.

The previous prime is 8056528681. The next prime is 8056528759. The reversal of 8056528704 is 4078256508.

8056528704 is a `hidden beast` number, since 8 + 0 + 56 + 528 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×8056528704³ (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8056528704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 951369 + ... + 959799.

Almost surely, 2^8056528704 is an apocalyptic number.

8056528704 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 8056528704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13707059200).

8056528704 is an abundant number, since it is smaller than the sum of its proper divisors (19357589696).

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

8056528704 is a wasteful number, since it uses less digits than its factorization.

8056528704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8538 (or 8522 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 8056528704 is about 89758.1678957408. The cubic root of 8056528704 is about 2004.6996732190.

The spelling of 8056528704 in words is "eight billion, fifty-six million, five hundred twenty-eight thousand, seven hundred four".