243296928 has 288 divisors, whose sum is σ = 868008960. Its totient is φ = 63037440.

The previous prime is 243296927. The next prime is 243296939. The reversal of 243296928 is 829692342.

It is a tau number, because it is divible by the number of its divisors (288).

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 (243296923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1062318 + ... + 1062546.

It is an arithmetic number, because the mean of its divisors is an integer number (3013920).

Almost surely, 2^243296928 is an apocalyptic number.

243296928 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 243296928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434004480).

243296928 is an abundant number, since it is smaller than the sum of its proper divisors (624712032).

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

243296928 is a wasteful number, since it uses less digits than its factorization.

243296928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 289 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 243296928 is about 15597.9783305401. The cubic root of 243296928 is about 624.2792142950.

The spelling of 243296928 in words is "two hundred forty-three million, two hundred ninety-six thousand, nine hundred twenty-eight".