285109272 has 96 divisors (see below), whose sum is σ = 906391200. Its totient is φ = 79252992.

The previous prime is 285109271. The next prime is 285109273. The reversal of 285109272 is 272901582.

285109272 is a `hidden beast` number, since 285 + 109 + 272 = 666.

It is an interprime number because it is at equal distance from previous prime (285109271) and next prime (285109273).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285109271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11004 + ... + 26292.

It is an arithmetic number, because the mean of its divisors is an integer number (9441575).

Almost surely, 2^285109272 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 285109272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453195600).

285109272 is an abundant number, since it is smaller than the sum of its proper divisors (621281928).

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

285109272 is a wasteful number, since it uses less digits than its factorization.

285109272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15345 (or 15338 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 285109272 is about 16885.1790633087. The cubic root of 285109272 is about 658.1685312775.

The spelling of 285109272 in words is "two hundred eighty-five million, one hundred nine thousand, two hundred seventy-two".