8527940928 has 448 divisors, whose sum is σ = 28972581120. Its totient is φ = 2436562944.

The previous prime is 8527940921. The next prime is 8527940951. The reversal of 8527940928 is 8290497258.

8527940928 is a `hidden beast` number, since 8 + 527 + 94 + 0 + 9 + 28 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8527940921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52318575 + ... + 52318737.

It is an arithmetic number, because the mean of its divisors is an integer number (64670940).

Almost surely, 2^8527940928 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 8527940928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14486290560).

8527940928 is an abundant number, since it is smaller than the sum of its proper divisors (20444640192).

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

8527940928 is a wasteful number, since it uses less digits than its factorization.

8527940928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 8527940928 is about 92346.8512078241. The cubic root of 8527940928 is about 2043.0612861956.

The spelling of 8527940928 in words is "eight billion, five hundred twenty-seven million, nine hundred forty thousand, nine hundred twenty-eight".