9782802432 has 384 divisors, whose sum is σ = 32288256000. Its totient is φ = 2906357760.

The previous prime is 9782802431. The next prime is 9782802433. The reversal of 9782802432 is 2342082879.

It is an interprime number because it is at equal distance from previous prime (9782802431) and next prime (9782802433).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×9782802432² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9782802431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22284069 + ... + 22284507.

It is an arithmetic number, because the mean of its divisors is an integer number (84084000).

Almost surely, 2^9782802432 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 9782802432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16144128000).

9782802432 is an abundant number, since it is smaller than the sum of its proper divisors (22505453568).

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

9782802432 is a wasteful number, since it uses less digits than its factorization.

9782802432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 9782802432 is about 98908.0503902488. The cubic root of 9782802432 is about 2138.7224470650.

The spelling of 9782802432 in words is "nine billion, seven hundred eighty-two million, eight hundred two thousand, four hundred thirty-two".