284853072 has 120 divisors (see below), whose sum is σ = 861052032. Its totient is φ = 80908800.

The previous prime is 284853061. The next prime is 284853077. The reversal of 284853072 is 270358482.

It is a super-2 number, since 2×284853072² = 162282545255674368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 284853072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284853077) 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, 660697 + ... + 661127.

Almost surely, 2^284853072 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 284853072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430526016).

284853072 is an abundant number, since it is smaller than the sum of its proper divisors (576198960).

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

284853072 is a wasteful number, since it uses less digits than its factorization.

284853072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 724 counting only the distinct ones).

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

The square root of 284853072 is about 16877.5908233373. The cubic root of 284853072 is about 657.9713281607.

The spelling of 284853072 in words is "two hundred eighty-four million, eight hundred fifty-three thousand, seventy-two".