281047968 has 144 divisors (see below), whose sum is σ = 847566720. Its totient is φ = 91570176.

The previous prime is 281047933. The next prime is 281047997. The reversal of 281047968 is 869740182.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 365088 + ... + 365856.

It is an arithmetic number, because the mean of its divisors is an integer number (5885880).

Almost surely, 2^281047968 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 281047968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423783360).

281047968 is an abundant number, since it is smaller than the sum of its proper divisors (566518752).

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

281047968 is an equidigital number, since it uses as much as digits as its factorization.

281047968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 281047968 is about 16764.4853186729. The cubic root of 281047968 is about 655.0284298986.

The spelling of 281047968 in words is "two hundred eighty-one million, forty-seven thousand, nine hundred sixty-eight".