281216832 has 112 divisors (see below), whose sum is σ = 814864512. Its totient is φ = 85063680.

The previous prime is 281216807. The next prime is 281216849. The reversal of 281216832 is 238612182.

It is a super-3 number, since 3×281216832³ (a number of 26 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 281216793 and 281216802.

It is a congruent number.

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, 151333 + ... + 153179.

It is an arithmetic number, because the mean of its divisors is an integer number (7275576).

Almost surely, 2^281216832 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 281216832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407432256).

281216832 is an abundant number, since it is smaller than the sum of its proper divisors (533647680).

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

281216832 is a wasteful number, since it uses less digits than its factorization.

281216832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936 (or 1926 counting only the distinct ones).

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

The square root of 281216832 is about 16769.5209233896. The cubic root of 281216832 is about 655.1595920581.

The spelling of 281216832 in words is "two hundred eighty-one million, two hundred sixteen thousand, eight hundred thirty-two".