10284048 has 60 divisors (see below), whose sum is σ = 30481308. Its totient is φ = 3225600.

The previous prime is 10284011. The next prime is 10284077. The reversal of 10284048 is 84048201.

It can be written as a sum of positive squares in 2 ways, for example, as 3873024 + 6411024 = 1968^2 + 2532^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 348 + ... + 4548.

Almost surely, 2^10284048 is an apocalyptic number.

10284048 is a gapful number since it is divisible by the number (18) 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 10284048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240654).

10284048 is an abundant number, since it is smaller than the sum of its proper divisors (20197260).

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

10284048 is a wasteful number, since it uses less digits than its factorization.

10284048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4232 (or 4223 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 10284048 is about 3206.8751145001. The cubic root of 10284048 is about 217.4643302583.

The spelling of 10284048 in words is "ten million, two hundred eighty-four thousand, forty-eight".