242972928 has 108 divisors (see below), whose sum is σ = 764317008. Its totient is φ = 73620480.

The previous prime is 242972927. The next prime is 242972941. The reversal of 242972928 is 829279242.

242972928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (242972921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20551 + ... + 30137.

Almost surely, 2^242972928 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 242972928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382158504).

242972928 is an abundant number, since it is smaller than the sum of its proper divisors (521344080).

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

242972928 is a wasteful number, since it uses less digits than its factorization.

242972928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9620 (or 9603 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 242972928 is about 15587.5889091290. The cubic root of 242972928 is about 624.0019723804.

It can be divided in two parts, 24297 and 2928, that added together give a square (27225 = 165²).

The spelling of 242972928 in words is "two hundred forty-two million, nine hundred seventy-two thousand, nine hundred twenty-eight".