286849152 has 72 divisors (see below), whose sum is σ = 827095815. Its totient is φ = 95424768.

The previous prime is 286849151. The next prime is 286849153. The reversal of 286849152 is 251948682.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (286849151) and next prime (286849153).

It can be written as a sum of positive squares in only one way, i.e., 143424576 + 143424576 = 11976^2 + 11976^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=11976.

It is a junction number, because it is equal to n+sod(n) for n = 286849098 and 286849107.

It is not an unprimeable number, because it can be changed into a prime (286849151) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 574599 + ... + 575097.

Almost surely, 2^286849152 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 286849152

286849152 is an abundant number, since it is smaller than the sum of its proper divisors (540246663).

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

286849152 is an frugal number, since it uses more digits than its factorization.

286849152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 504 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 286849152 is about 16936.6216229802. The cubic root of 286849152 is about 659.5046420800.

The spelling of 286849152 in words is "two hundred eighty-six million, eight hundred forty-nine thousand, one hundred fifty-two".