284888352 has 144 divisors (see below), whose sum is σ = 883213632. Its totient is φ = 80156160.

The previous prime is 284888341. The next prime is 284888353. The reversal of 284888352 is 253888482.

It is a super-2 number, since 2×284888352² = 162322746210551808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (284888353) 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, 333558 + ... + 334410.

It is an arithmetic number, because the mean of its divisors is an integer number (6133428).

Almost surely, 2^284888352 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 284888352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441606816).

284888352 is an abundant number, since it is smaller than the sum of its proper divisors (598325280).

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

284888352 is a wasteful number, since it uses less digits than its factorization.

284888352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 936 counting only the distinct ones).

The product of its digits is 983040, while the sum is 48.

The square root of 284888352 is about 16878.6359638449. The cubic root of 284888352 is about 657.9984910181.

The spelling of 284888352 in words is "two hundred eighty-four million, eight hundred eighty-eight thousand, three hundred fifty-two".