284295648 has 144 divisors (see below), whose sum is σ = 935096400. Its totient is φ = 74962944.

The previous prime is 284295647. The next prime is 284295659. The reversal of 284295648 is 846592482.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 284295597 and 284295606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284295647) 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, 58828 + ... + 63476.

It is an arithmetic number, because the mean of its divisors is an integer number (6493725).

Almost surely, 2^284295648 is an apocalyptic number.

284295648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284295648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467548200).

284295648 is an abundant number, since it is smaller than the sum of its proper divisors (650800752).

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

284295648 is a wasteful number, since it uses less digits than its factorization.

284295648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4689 (or 4674 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The square root of 284295648 is about 16861.0690052559. The cubic root of 284295648 is about 657.5418570316.

The spelling of 284295648 in words is "two hundred eighty-four million, two hundred ninety-five thousand, six hundred forty-eight".