9828369144 has 128 divisors (see below), whose sum is σ = 30160512000. Its totient is φ = 2940537600.

The previous prime is 9828369143. The next prime is 9828369151. The reversal of 9828369144 is 4419638289.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9828369143) 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, 161524 + ... + 213884.

It is an arithmetic number, because the mean of its divisors is an integer number (235629000).

Almost surely, 2^9828369144 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 9828369144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15080256000).

9828369144 is an abundant number, since it is smaller than the sum of its proper divisors (20332142856).

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

9828369144 is a wasteful number, since it uses less digits than its factorization.

9828369144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52466 (or 52456 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 9828369144 is about 99138.1316346036. The cubic root of 9828369144 is about 2142.0379125335.

The spelling of 9828369144 in words is "nine billion, eight hundred twenty-eight million, three hundred sixty-nine thousand, one hundred forty-four".