241681728 has 56 divisors (see below), whose sum is σ = 648492480. Its totient is φ = 79421440.

The previous prime is 241681711. The next prime is 241681733. The reversal of 241681728 is 827186142.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4768 + ... + 22496.

Almost surely, 2^241681728 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 241681728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324246240).

241681728 is an abundant number, since it is smaller than the sum of its proper divisors (406810752).

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

241681728 is a wasteful number, since it uses less digits than its factorization.

241681728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17815 (or 17805 counting only the distinct ones).

The product of its digits is 43008, while the sum is 39.

The square root of 241681728 is about 15546.1161709284. The cubic root of 241681728 is about 622.8946572408.

The spelling of 241681728 in words is "two hundred forty-one million, six hundred eighty-one thousand, seven hundred twenty-eight".