284955648 has 176 divisors, whose sum is σ = 821420160. Its totient is φ = 87588864.

The previous prime is 284955631. The next prime is 284955667. The reversal of 284955648 is 846559482.

It is a happy number.

Its product of digits (2764800) is a multiple of the sum of its prime factors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 284955648.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2614218 + ... + 2614326.

It is an arithmetic number, because the mean of its divisors is an integer number (4667160).

Almost surely, 2^284955648 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 284955648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410710080).

284955648 is an abundant number, since it is smaller than the sum of its proper divisors (536464512).

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

284955648 is a wasteful number, since it uses less digits than its factorization.

284955648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 174 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 51.

The square root of 284955648 is about 16880.6293721532. The cubic root of 284955648 is about 658.0502974889.

It can be divided in two parts, 28495 and 5648, that added together give a palindrome (34143).

The spelling of 284955648 in words is "two hundred eighty-four million, nine hundred fifty-five thousand, six hundred forty-eight".