8527728960 has 336 divisors, whose sum is σ = 31201522560. Its totient is φ = 2131660800.

The previous prime is 8527728943. The next prime is 8527728967. The reversal of 8527728960 is 698277258.

It is a happy number.

8527728960 is a `hidden beast` number, since 8 + 527 + 7 + 28 + 96 + 0 = 666.

It is a super-2 number, since 2×8527728960² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8527728897 and 8527728906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8527728967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5525949 + ... + 5527491.

Almost surely, 2^8527728960 is an apocalyptic number.

8527728960 is a gapful number since it is divisible by the number (80) 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 8527728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15600761280).

8527728960 is an abundant number, since it is smaller than the sum of its proper divisors (22673793600).

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

8527728960 is a wasteful number, since it uses less digits than its factorization.

8527728960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 8527728960 is about 92345.7035275600. The cubic root of 8527728960 is about 2043.0443588112.

The spelling of 8527728960 in words is "eight billion, five hundred twenty-seven million, seven hundred twenty-eight thousand, nine hundred sixty".