286377672 has 64 divisors (see below), whose sum is σ = 820368000. Its totient is φ = 81607680.

The previous prime is 286377643. The next prime is 286377673. The reversal of 286377672 is 276773682.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (286377673) 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 15 ways as a sum of consecutive naturals, for example, 68704 + ... + 72752.

It is an arithmetic number, because the mean of its divisors is an integer number (12818250).

Almost surely, 2^286377672 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 286377672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410184000).

286377672 is an abundant number, since it is smaller than the sum of its proper divisors (533990328).

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

286377672 is a wasteful number, since it uses less digits than its factorization.

286377672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4486 (or 4482 counting only the distinct ones).

The product of its digits is 1185408, while the sum is 48.

The square root of 286377672 is about 16922.6969481818. The cubic root of 286377672 is about 659.1431120296.

The spelling of 286377672 in words is "two hundred eighty-six million, three hundred seventy-seven thousand, six hundred seventy-two".