242137728 has 128 divisors (see below), whose sum is σ = 816816000. Its totient is φ = 69175296.

The previous prime is 242137699. The next prime is 242137741. The reversal of 242137728 is 827731242.

242137728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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 junction number, because it is equal to n+sod(n) for n = 242137692 and 242137701.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19188 + ... + 29196.

It is an arithmetic number, because the mean of its divisors is an integer number (6381375).

Almost surely, 2^242137728 is an apocalyptic number.

242137728 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 242137728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408408000).

242137728 is an abundant number, since it is smaller than the sum of its proper divisors (574678272).

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

242137728 is a wasteful number, since it uses less digits than its factorization.

242137728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10039 (or 10021 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 242137728 is about 15560.7753020214. The cubic root of 242137728 is about 623.2861659589.

The spelling of 242137728 in words is "two hundred forty-two million, one hundred thirty-seven thousand, seven hundred twenty-eight".