281968128 has 200 divisors, whose sum is σ = 908072088. Its totient is φ = 86593536.

The previous prime is 281968091. The next prime is 281968133. The reversal of 281968128 is 821869182.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 538875 + ... + 539397.

Almost surely, 2^281968128 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 281968128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454036044).

281968128 is an abundant number, since it is smaller than the sum of its proper divisors (626103960).

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

281968128 is an equidigital number, since it uses as much as digits as its factorization.

281968128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 541 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 281968128 is about 16791.9066219414. The cubic root of 281968128 is about 655.7425124701.

The spelling of 281968128 in words is "two hundred eighty-one million, nine hundred sixty-eight thousand, one hundred twenty-eight".