281893248 has 192 divisors, whose sum is σ = 998743200. Its totient is φ = 74317824.

The previous prime is 281893243. The next prime is 281893279. The reversal of 281893248 is 842398182.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (281893243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103488 + ... + 106176.

Almost surely, 2^281893248 is an apocalyptic number.

281893248 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 281893248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499371600).

281893248 is an abundant number, since it is smaller than the sum of its proper divisors (716849952).

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

281893248 is a wasteful number, since it uses less digits than its factorization.

281893248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729 (or 2714 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 281893248 is about 16789.6768283371. The cubic root of 281893248 is about 655.6844605822.

The spelling of 281893248 in words is "two hundred eighty-one million, eight hundred ninety-three thousand, two hundred forty-eight".