9282746880 has 640 divisors, whose sum is σ = 37299398400. Its totient is φ = 2167603200.

The previous prime is 9282746843. The next prime is 9282746881. The reversal of 9282746880 is 886472829.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (9282746881) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 22049070 + ... + 22049490.

It is an arithmetic number, because the mean of its divisors is an integer number (58280310).

Almost surely, 2^9282746880 is an apocalyptic number.

9282746880 is a gapful number since it is divisible by the number (90) 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 9282746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18649699200).

9282746880 is an abundant number, since it is smaller than the sum of its proper divisors (28016651520).

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

9282746880 is a wasteful number, since it uses less digits than its factorization.

9282746880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 9282746880 is about 96347.0128234394. The cubic root of 9282746880 is about 2101.6424701442.

The spelling of 9282746880 in words is "nine billion, two hundred eighty-two million, seven hundred forty-six thousand, eight hundred eighty".