281828160 has 280 divisors, whose sum is σ = 1022335776. Its totient is φ = 73681920.

The previous prime is 281828143. The next prime is 281828167. The reversal of 281828160 is 61828182.

It is a super-2 number, since 2×281828160² = 158854223537971200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (281828167) 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 39 ways as a sum of consecutive naturals, for example, 2151295 + ... + 2151425.

Almost surely, 2^281828160 is an apocalyptic number.

281828160 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 281828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511167888).

281828160 is an abundant number, since it is smaller than the sum of its proper divisors (740507616).

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

281828160 is a wasteful number, since it uses less digits than its factorization.

281828160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 281828160 is about 16787.7383825219. The cubic root of 281828160 is about 655.6339917427.

The spelling of 281828160 in words is "two hundred eighty-one million, eight hundred twenty-eight thousand, one hundred sixty".