2368384128 has 192 divisors, whose sum is σ = 7675948800. Its totient is φ = 694425600.

The previous prime is 2368384127. The next prime is 2368384153. The reversal of 2368384128 is 8214838632.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (2368384127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 389818 + ... + 395846.

It is an arithmetic number, because the mean of its divisors is an integer number (39978900).

Almost surely, 2^2368384128 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 2368384128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3837974400).

2368384128 is an abundant number, since it is smaller than the sum of its proper divisors (5307564672).

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

2368384128 is a wasteful number, since it uses less digits than its factorization.

2368384128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6091 (or 6076 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 2368384128 is about 48666.0469732235. The cubic root of 2368384128 is about 1332.9608088177.

The spelling of 2368384128 in words is "two billion, three hundred sixty-eight million, three hundred eighty-four thousand, one hundred twenty-eight".