8577725328 has 240 divisors, whose sum is σ = 25521699840. Its totient is φ = 2685312000.

The previous prime is 8577725323. The next prime is 8577725329. The reversal of 8577725328 is 8235277758.

It is a super-2 number, since 2×8577725328² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8577725323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38465025 + ... + 38465247.

It is an arithmetic number, because the mean of its divisors is an integer number (106340416).

Almost surely, 2^8577725328 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 8577725328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12760849920).

8577725328 is an abundant number, since it is smaller than the sum of its proper divisors (16943974512).

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

8577725328 is a wasteful number, since it uses less digits than its factorization.

8577725328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 469 counting only the distinct ones).

The product of its digits is 6585600, while the sum is 54.

The square root of 8577725328 is about 92616.0101062446. The cubic root of 8577725328 is about 2047.0292347988.

The spelling of 8577725328 in words is "eight billion, five hundred seventy-seven million, seven hundred twenty-five thousand, three hundred twenty-eight".