285238272 has 176 divisors, whose sum is σ = 867796992. Its totient is φ = 82452480.

The previous prime is 285238243. The next prime is 285238277. The reversal of 285238272 is 272832582.

It is a tau number, because it is divible by the number of its divisors (176).

It is a self number, because there is not a number n which added to its sum of digits gives 285238272.

It is not an unprimeable number, because it can be changed into a prime (285238277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 777033 + ... + 777399.

Almost surely, 2^285238272 is an apocalyptic number.

285238272 is a gapful number since it is divisible by the number (22) 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 285238272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433898496).

285238272 is an abundant number, since it is smaller than the sum of its proper divisors (582558720).

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

285238272 is a wasteful number, since it uses less digits than its factorization.

285238272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 406 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 285238272 is about 16888.9985493516. The cubic root of 285238272 is about 658.2677808717.

The spelling of 285238272 in words is "two hundred eighty-five million, two hundred thirty-eight thousand, two hundred seventy-two".