242728190748 has 288 divisors, whose sum is σ = 658082880000. Its totient is φ = 75315018240.

The previous prime is 242728190741. The next prime is 242728190753. The reversal of 242728190748 is 847091827242.

242728190748 is a `hidden beast` number, since 2 + 427 + 28 + 190 + 7 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 242728190694 and 242728190703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242728190741) 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 95 ways as a sum of consecutive naturals, for example, 1219739553 + ... + 1219739751.

It is an arithmetic number, because the mean of its divisors is an integer number (2285010000).

Almost surely, 2^242728190748 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 242728190748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329041440000).

242728190748 is an abundant number, since it is smaller than the sum of its proper divisors (415354689252).

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

242728190748 is a wasteful number, since it uses less digits than its factorization.

242728190748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 242728190748 in words is "two hundred forty-two billion, seven hundred twenty-eight million, one hundred ninety thousand, seven hundred forty-eight".