8929305420 has 192 divisors, whose sum is σ = 30308898816. Its totient is φ = 1917480960.

The previous prime is 8929305377. The next prime is 8929305421. The reversal of 8929305420 is 245039298.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (8929305421) 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, 7360734 + ... + 7361946.

It is an arithmetic number, because the mean of its divisors is an integer number (157858848).

Almost surely, 2^8929305420 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 8929305420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15154449408).

8929305420 is an abundant number, since it is smaller than the sum of its proper divisors (21379593396).

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

8929305420 is a wasteful number, since it uses less digits than its factorization.

8929305420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 8929305420 is about 94495.0020900577. The cubic root of 8929305420 is about 2074.6231798438.

8929305420 divided by its sum of digits (42) gives a triangular number (212602510 = T₂₀₆₂₀).

The spelling of 8929305420 in words is "eight billion, nine hundred twenty-nine million, three hundred five thousand, four hundred twenty".