9859428480 has 576 divisors, whose sum is σ = 36647735040. Its totient is φ = 2250547200.

The previous prime is 9859428473. The next prime is 9859428499. The reversal of 9859428480 is 848249589.

It is a super-2 number, since 2×9859428480² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9859428480.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 266471022 + ... + 266471058.

It is an arithmetic number, because the mean of its divisors is an integer number (63624540).

Almost surely, 2^9859428480 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 9859428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18323867520).

9859428480 is an abundant number, since it is smaller than the sum of its proper divisors (26788306560).

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

9859428480 is a wasteful number, since it uses less digits than its factorization.

9859428480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 57.

The square root of 9859428480 is about 99294.6548410336. The cubic root of 9859428480 is about 2144.2919424981.

The spelling of 9859428480 in words is "nine billion, eight hundred fifty-nine million, four hundred twenty-eight thousand, four hundred eighty".