281148672 has 216 divisors, whose sum is σ = 902237952. Its totient is φ = 77414400.

The previous prime is 281148671. The next prime is 281148691. The reversal of 281148672 is 276841182.

It is a happy number.

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 281148672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (281148671) 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, 1166472 + ... + 1166712.

Almost surely, 2^281148672 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 281148672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451118976).

281148672 is an abundant number, since it is smaller than the sum of its proper divisors (621089280).

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

281148672 is a wasteful number, since it uses less digits than its factorization.

281148672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 284 counting only the distinct ones).

The product of its digits is 43008, while the sum is 39.

The square root of 281148672 is about 16767.4885418181. The cubic root of 281148672 is about 655.1066562910.

The spelling of 281148672 in words is "two hundred eighty-one million, one hundred forty-eight thousand, six hundred seventy-two".