2368128 has 64 divisors (see below), whose sum is σ = 7197120. Its totient is φ = 675840.

The previous prime is 2368127. The next prime is 2368129. The reversal of 2368128 is 8218632.

It is an interprime number because it is at equal distance from previous prime (2368127) and next prime (2368129).

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a d-powerful number, because it can be written as 2² + 3³ + 6⁵ + 8⁶ + 1 + 2¹⁰ + 8⁷ .

It is a junction number, because it is equal to n+sod(n) for n = 2368095 and 2368104.

It is not an unprimeable number, because it can be changed into a prime (2368127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2248 + ... + 3128.

It is an arithmetic number, because the mean of its divisors is an integer number (112455).

2^2368128 is an apocalyptic number.

2368128 is a gapful number since it is divisible by the number (28) 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 2368128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3598560).

2368128 is an abundant number, since it is smaller than the sum of its proper divisors (4828992).

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

2368128 is an equidigital number, since it uses as much as digits as its factorization.

2368128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 893 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 2368128 is about 1538.8723143913. The cubic root of 2368128 is about 133.2912756239.

The spelling of 2368128 in words is "two million, three hundred sixty-eight thousand, one hundred twenty-eight".