286460028 has 72 divisors (see below), whose sum is σ = 757738800. Its totient is φ = 91128576.

The previous prime is 286460003. The next prime is 286460029. The reversal of 286460028 is 820064682.

286460028 is a `hidden beast` number, since 2 + 8 + 646 + 0 + 0 + 2 + 8 = 666.

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 = 286459974 and 286460001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286460029) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 91375 + ... + 94457.

It is an arithmetic number, because the mean of its divisors is an integer number (10524150).

Almost surely, 2^286460028 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 286460028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378869400).

286460028 is an abundant number, since it is smaller than the sum of its proper divisors (471278772).

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

286460028 is a wasteful number, since it uses less digits than its factorization.

286460028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3211 (or 3206 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 286460028 is about 16925.1300733554. The cubic root of 286460028 is about 659.2062910558.

The spelling of 286460028 in words is "two hundred eighty-six million, four hundred sixty thousand, twenty-eight".