281728040 has 64 divisors (see below), whose sum is σ = 715392000. Its totient is φ = 98909440.

The previous prime is 281728021. The next prime is 281728079. The reversal of 281728040 is 40827182.

It is a junction number, because it is equal to n+sod(n) for n = 281727988 and 281728006.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1721 + ... + 23799.

It is an arithmetic number, because the mean of its divisors is an integer number (11178000).

Almost surely, 2^281728040 is an apocalyptic number.

281728040 is a gapful number since it is divisible by the number (20) 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 281728040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357696000).

281728040 is an abundant number, since it is smaller than the sum of its proper divisors (433663960).

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

281728040 is a wasteful number, since it uses less digits than its factorization.

281728040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22130 (or 22126 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 281728040 is about 16784.7561793432. The cubic root of 281728040 is about 655.5563441318.

The spelling of 281728040 in words is "two hundred eighty-one million, seven hundred twenty-eight thousand, forty".