8428918320 has 400 divisors, whose sum is σ = 31054679040. Its totient is φ = 2112956928.

The previous prime is 8428918313. The next prime is 8428918327. The reversal of 8428918320 is 238198248.

It is an interprime number because it is at equal distance from previous prime (8428918313) and next prime (8428918327).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8428918327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27455607 + ... + 27455913.

Almost surely, 2^8428918320 is an apocalyptic number.

8428918320 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 8428918320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15527339520).

8428918320 is an abundant number, since it is smaller than the sum of its proper divisors (22625760720).

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

8428918320 is a wasteful number, since it uses less digits than its factorization.

8428918320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 8428918320 is about 91809.1407213900. The cubic root of 8428918320 is about 2035.1227779195.

The spelling of 8428918320 in words is "eight billion, four hundred twenty-eight million, nine hundred eighteen thousand, three hundred twenty".