282106944 has 336 divisors, whose sum is σ = 995777536. Its totient is φ = 74649600.

The previous prime is 282106919. The next prime is 282106991. The reversal of 282106944 is 449601282.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 282106899 and 282106908.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4624674 + ... + 4624734.

Almost surely, 2^282106944 is an apocalyptic number.

282106944 is a gapful number since it is divisible by the number (24) 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 282106944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497888768).

282106944 is an abundant number, since it is smaller than the sum of its proper divisors (713670592).

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

282106944 is a wasteful number, since it uses less digits than its factorization.

282106944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 282106944 is about 16796.0395331757. The cubic root of 282106944 is about 655.8501045579.

The spelling of 282106944 in words is "two hundred eighty-two million, one hundred six thousand, nine hundred forty-four".