281288 has 16 divisors (see below), whose sum is σ = 602880. Its totient is φ = 120528.

The previous prime is 281279. The next prime is 281291. The reversal of 281288 is 882182.

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

It is a self number, because there is not a number n which added to its sum of digits gives 281288.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 281288.

It is an unprimeable number.

281288 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2456 + ... + 2567.

It is an arithmetic number, because the mean of its divisors is an integer number (37680).

2²⁸¹²⁸⁸ is an apocalyptic number.

281288 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

281288 is an abundant number, since it is smaller than the sum of its proper divisors (321592).

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

281288 is a wasteful number, since it uses less digits than its factorization.

281288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5036 (or 5032 counting only the distinct ones).

The product of its digits is 2048, while the sum is 29.

The square root of 281288 is about 530.3659114234. The cubic root of 281288 is about 65.5214854830.

It can be divided in two parts, 2812 and 88, that multiplied together give a triangular number (247456 = T₇₀₃).

The spelling of 281288 in words is "two hundred eighty-one thousand, two hundred eighty-eight".