284009152 has 112 divisors (see below), whose sum is σ = 688799232. Its totient is φ = 113541120.

The previous prime is 284009149. The next prime is 284009153. The reversal of 284009152 is 251900482.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×284009152² = 161322396839518208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (284009153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 442752 + ... + 443392.

Almost surely, 2^284009152 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 284009152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344399616).

284009152 is an abundant number, since it is smaller than the sum of its proper divisors (404790080).

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

284009152 is a wasteful number, since it uses less digits than its factorization.

284009152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 284009152 is about 16852.5710798086. The cubic root of 284009152 is about 657.3209057918.

The spelling of 284009152 in words is "two hundred eighty-four million, nine thousand, one hundred fifty-two".