286538148 has 90 divisors (see below), whose sum is σ = 811275234. Its totient is φ = 88148736.

The previous prime is 286538123. The next prime is 286538171. The reversal of 286538148 is 841835682.

286538148 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 24681024 + 261857124 = 4968^2 + 16182^2 .

It is a super-2 number, since 2×286538148² = 164208220518539808, which contains 22 as substring.

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 29 ways as a sum of consecutive naturals, for example, 52140 + ... + 57372.

Almost surely, 2^286538148 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 286538148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405637617).

286538148 is an abundant number, since it is smaller than the sum of its proper divisors (524737086).

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

286538148 is a wasteful number, since it uses less digits than its factorization.

286538148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5275 (or 5251 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 286538148 is about 16927.4377269568. The cubic root of 286538148 is about 659.2662092642.

The spelling of 286538148 in words is "two hundred eighty-six million, five hundred thirty-eight thousand, one hundred forty-eight".