9882432000 has 1280 divisors, whose sum is σ = 44939980800. Its totient is φ = 2090188800.

The previous prime is 9882431953. The next prime is 9882432029. The reversal of 9882432000 is 2342889.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 229823979 + ... + 229824021.

It is an arithmetic number, because the mean of its divisors is an integer number (35109360).

Almost surely, 2^9882432000 is an apocalyptic number.

9882432000 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 9882432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22469990400).

9882432000 is an abundant number, since it is smaller than the sum of its proper divisors (35057548800).

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

9882432000 is a wasteful number, since it uses less digits than its factorization.

9882432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 9882432000 is about 99410.4219888438. The cubic root of 9882432000 is about 2145.9582983958.

Adding to 9882432000 its reverse (2342889), we get a palindrome (9884774889).

The spelling of 9882432000 in words is "nine billion, eight hundred eighty-two million, four hundred thirty-two thousand".