243268128 has 72 divisors (see below), whose sum is σ = 696559500. Its totient is φ = 80530944.

The previous prime is 243268127. The next prime is 243268133. The reversal of 243268128 is 821862342.

It can be written as a sum of positive squares in 2 ways, for example, as 213978384 + 29289744 = 14628^2 + 5412^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

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

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 243268092 and 243268101.

It is not an unprimeable number, because it can be changed into a prime (243268121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40078 + ... + 45746.

Almost surely, 2^243268128 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 243268128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348279750).

243268128 is an abundant number, since it is smaller than the sum of its proper divisors (453291372).

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

243268128 is a wasteful number, since it uses less digits than its factorization.

243268128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5834 (or 5823 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 243268128 is about 15597.0551066539. The cubic root of 243268128 is about 624.2545805398.

The spelling of 243268128 in words is "two hundred forty-three million, two hundred sixty-eight thousand, one hundred twenty-eight".