283909248 has 384 divisors, whose sum is σ = 1050192000. Its totient is φ = 71663616.

The previous prime is 283909243. The next prime is 283909259. The reversal of 283909248 is 842909382.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×283909248² = 161208922199851008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (283909243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2604618 + ... + 2604726.

It is an arithmetic number, because the mean of its divisors is an integer number (2734875).

Almost surely, 2^283909248 is an apocalyptic number.

283909248 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 283909248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525096000).

283909248 is an abundant number, since it is smaller than the sum of its proper divisors (766282752).

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

283909248 is a wasteful number, since it uses less digits than its factorization.

283909248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 283909248 is about 16849.6067609900. The cubic root of 283909248 is about 657.2438229598.

The spelling of 283909248 in words is "two hundred eighty-three million, nine hundred nine thousand, two hundred forty-eight".