242983728 has 120 divisors (see below), whose sum is σ = 736484112. Its totient is φ = 74340864.

The previous prime is 242983717. The next prime is 242983733. The reversal of 242983728 is 827389242.

242983728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 548275 + ... + 548717.

Almost surely, 2^242983728 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 242983728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368242056).

242983728 is an abundant number, since it is smaller than the sum of its proper divisors (493500384).

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

242983728 is a wasteful number, since it uses less digits than its factorization.

242983728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 754 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 242983728 is about 15587.9353347389. The cubic root of 242983728 is about 624.0112177471.

The spelling of 242983728 in words is "two hundred forty-two million, nine hundred eighty-three thousand, seven hundred twenty-eight".