286726944 has 96 divisors (see below), whose sum is σ = 889902720. Its totient is φ = 79091712.

The previous prime is 286726927. The next prime is 286726963. The reversal of 286726944 is 449627682.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 286726893 and 286726902.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12132 + ... + 26844.

It is an arithmetic number, because the mean of its divisors is an integer number (9269820).

Almost surely, 2^286726944 is an apocalyptic number.

286726944 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 286726944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444951360).

286726944 is an abundant number, since it is smaller than the sum of its proper divisors (603175776).

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

286726944 is a wasteful number, since it uses less digits than its factorization.

286726944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14762 (or 14754 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 286726944 is about 16933.0134352985. The cubic root of 286726944 is about 659.4109712532.

The spelling of 286726944 in words is "two hundred eighty-six million, seven hundred twenty-six thousand, nine hundred forty-four".