281232168 has 96 divisors (see below), whose sum is σ = 827366400. Its totient is φ = 79419648.

The previous prime is 281232157. The next prime is 281232191. The reversal of 281232168 is 861232182.

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

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, 103321 + ... + 106007.

It is an arithmetic number, because the mean of its divisors is an integer number (8618400).

Almost surely, 2^281232168 is an apocalyptic number.

281232168 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 281232168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413683200).

281232168 is an abundant number, since it is smaller than the sum of its proper divisors (546134232).

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

281232168 is a wasteful number, since it uses less digits than its factorization.

281232168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2799 (or 2788 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 281232168 is about 16769.9781752989. The cubic root of 281232168 is about 655.1715014268.

It can be divided in two parts, 2812 and 32168, that added together give a triangular number (34980 = T₂₆₄).

The spelling of 281232168 in words is "two hundred eighty-one million, two hundred thirty-two thousand, one hundred sixty-eight".