284113872 has 160 divisors (see below), whose sum is σ = 952320000. Its totient is φ = 79408512.

The previous prime is 284113849. The next prime is 284113889. The reversal of 284113872 is 278311482.

284113872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141129 + ... + 143127.

It is an arithmetic number, because the mean of its divisors is an integer number (5952000).

Almost surely, 2^284113872 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 284113872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476160000).

284113872 is an abundant number, since it is smaller than the sum of its proper divisors (668206128).

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

284113872 is a wasteful number, since it uses less digits than its factorization.

284113872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070 (or 2058 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 284113872 is about 16855.6777377832. The cubic root of 284113872 is about 657.4016850979.

The spelling of 284113872 in words is "two hundred eighty-four million, one hundred thirteen thousand, eight hundred seventy-two".