8929489920 has 352 divisors, whose sum is σ = 31049682048. Its totient is φ = 2177236992.

The previous prime is 8929489913. The next prime is 8929489949. The reversal of 8929489920 is 299849298.

It is a Smith number, since the sum of its digits (60) 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 (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39336847 + ... + 39337073.

It is an arithmetic number, because the mean of its divisors is an integer number (88209324).

Almost surely, 2^8929489920 is an apocalyptic number.

8929489920 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 8929489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15524841024).

8929489920 is an abundant number, since it is smaller than the sum of its proper divisors (22120192128).

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

8929489920 is a wasteful number, since it uses less digits than its factorization.

8929489920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 60.

The square root of 8929489920 is about 94495.9783271225. The cubic root of 8929489920 is about 2074.6374685752.

The spelling of 8929489920 in words is "eight billion, nine hundred twenty-nine million, four hundred eighty-nine thousand, nine hundred twenty".