286326048 has 96 divisors (see below), whose sum is σ = 818596800. Its totient is φ = 87284736.

The previous prime is 286326023. The next prime is 286326071. The reversal of 286326048 is 840623682.

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

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 286325997 and 286326015.

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, 50190 + ... + 55602.

It is an arithmetic number, because the mean of its divisors is an integer number (8527050).

Almost surely, 2^286326048 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 286326048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409298400).

286326048 is an abundant number, since it is smaller than the sum of its proper divisors (532270752).

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

286326048 is a wasteful number, since it uses less digits than its factorization.

286326048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5474 (or 5466 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 286326048 is about 16921.1715906435. The cubic root of 286326048 is about 659.1035027395.

The spelling of 286326048 in words is "two hundred eighty-six million, three hundred twenty-six thousand, forty-eight".