281908872960 has 1728 divisors, whose sum is σ = 1186720367616. Its totient is φ = 56229888000.

The previous prime is 281908872911. The next prime is 281908872961. The reversal of 281908872960 is 69278809182.

It is a super-2 number, since 2×281908872960² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 281908872894 and 281908872903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (281908872961) 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 191 ways as a sum of consecutive naturals, for example, 2791176910 + ... + 2791177010.

It is an arithmetic number, because the mean of its divisors is an integer number (686759472).

Almost surely, 2^281908872960 is an apocalyptic number.

281908872960 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 281908872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593360183808).

281908872960 is an abundant number, since it is smaller than the sum of its proper divisors (904811494656).

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

281908872960 is a wasteful number, since it uses less digits than its factorization.

281908872960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 60.

The spelling of 281908872960 in words is "two hundred eighty-one billion, nine hundred eight million, eight hundred seventy-two thousand, nine hundred sixty".