281728480 has 48 divisors (see below), whose sum is σ = 726095664. Its totient is φ = 102446080.

The previous prime is 281728459. The next prime is 281728519. The reversal of 281728480 is 84827182.

It is a super-2 number, since 2×281728480² = 158741872886220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78277 + ... + 81796.

It is an arithmetic number, because the mean of its divisors is an integer number (15126993).

Almost surely, 2^281728480 is an apocalyptic number.

281728480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

281728480 is an abundant number, since it is smaller than the sum of its proper divisors (444367184).

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

281728480 is a wasteful number, since it uses less digits than its factorization.

281728480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160099 (or 160091 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 40.

The square root of 281728480 is about 16784.7692864692. The cubic root of 281728480 is about 655.5566854120.

The spelling of 281728480 in words is "two hundred eighty-one million, seven hundred twenty-eight thousand, four hundred eighty".