241793328 has 80 divisors (see below), whose sum is σ = 726024960. Its totient is φ = 67907328.

The previous prime is 241793317. The next prime is 241793339. The reversal of 241793328 is 823397142.

241793328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (241793317) and next prime (241793339).

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, 13726 + ... + 25922.

It is an arithmetic number, because the mean of its divisors is an integer number (9075312).

Almost surely, 2^241793328 is an apocalyptic number.

241793328 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 241793328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363012480).

241793328 is an abundant number, since it is smaller than the sum of its proper divisors (484231632).

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

241793328 is a wasteful number, since it uses less digits than its factorization.

241793328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12274 (or 12268 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 241793328 is about 15549.7050775891. The cubic root of 241793328 is about 622.9905193308.

The spelling of 241793328 in words is "two hundred forty-one million, seven hundred ninety-three thousand, three hundred twenty-eight".