286105248 has 144 divisors (see below), whose sum is σ = 955989216. Its totient is φ = 80017920.

The previous prime is 286105247. The next prime is 286105297. The reversal of 286105248 is 842501682.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (286105241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37711 + ... + 44657.

It is an arithmetic number, because the mean of its divisors is an integer number (6638814).

Almost surely, 2^286105248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286105248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477994608).

286105248 is an abundant number, since it is smaller than the sum of its proper divisors (669883968).

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

286105248 is a wasteful number, since it uses less digits than its factorization.

286105248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6987 (or 6976 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 286105248 is about 16914.6459614146. The cubic root of 286105248 is about 658.9340368702.

The spelling of 286105248 in words is "two hundred eighty-six million, one hundred five thousand, two hundred forty-eight".