8945864928 has 972 divisors, whose sum is σ = 36358961184. Its totient is φ = 2075673600.

The previous prime is 8945864891. The next prime is 8945864957. The reversal of 8945864928 is 8294685498.

8945864928 is a `hidden beast` number, since 8 + 9 + 4 + 586 + 49 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 161 ways as a sum of consecutive naturals, for example, 288576273 + ... + 288576303.

Almost surely, 2^8945864928 is an apocalyptic number.

8945864928 is a gapful number since it is divisible by the number (88) 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 8945864928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18179480592).

8945864928 is an abundant number, since it is smaller than the sum of its proper divisors (27413096256).

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

8945864928 is a wasteful number, since it uses less digits than its factorization.

8945864928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 67 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 63.

The square root of 8945864928 is about 94582.5825826299. The cubic root of 8945864928 is about 2075.9048593729.

The spelling of 8945864928 in words is "eight billion, nine hundred forty-five million, eight hundred sixty-four thousand, nine hundred twenty-eight".