285100368 has 80 divisors (see below), whose sum is σ = 843565056. Its totient is φ = 81279360.

The previous prime is 285100357. The next prime is 285100369. The reversal of 285100368 is 863001582.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285100369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276013 + ... + 277043.

Almost surely, 2^285100368 is an apocalyptic number.

285100368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285100368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421782528).

285100368 is an abundant number, since it is smaller than the sum of its proper divisors (558464688).

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

285100368 is a wasteful number, since it uses less digits than its factorization.

285100368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 285100368 is about 16884.9153980706. The cubic root of 285100368 is about 658.1616796430.

The spelling of 285100368 in words is "two hundred eighty-five million, one hundred thousand, three hundred sixty-eight".