284053248 has 216 divisors, whose sum is σ = 874962816. Its totient is φ = 88473600.

The previous prime is 284053241. The next prime is 284053283. The reversal of 284053248 is 842350482.

284053248 is a `hidden beast` number, since 2 + 8 + 405 + 3 + 248 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284053241) 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, 2928336 + ... + 2928432.

Almost surely, 2^284053248 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 284053248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437481408).

284053248 is an abundant number, since it is smaller than the sum of its proper divisors (590909568).

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

284053248 is a wasteful number, since it uses less digits than its factorization.

284053248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 284053248 is about 16853.8793160507. The cubic root of 284053248 is about 657.3549231494.

The spelling of 284053248 in words is "two hundred eighty-four million, fifty-three thousand, two hundred forty-eight".