283828608 has 192 divisors, whose sum is σ = 950370720. Its totient is φ = 79626240.

The previous prime is 283828607. The next prime is 283828619. The reversal of 283828608 is 806828382.

283828608 is a `hidden beast` number, since 2 + 8 + 38 + 2 + 8 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (283828603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 491616 + ... + 492192.

Almost surely, 2^283828608 is an apocalyptic number.

283828608 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 283828608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475185360).

283828608 is an abundant number, since it is smaller than the sum of its proper divisors (666542112).

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

283828608 is a wasteful number, since it uses less digits than its factorization.

283828608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 283828608 is about 16847.2136568633. The cubic root of 283828608 is about 657.1815904436.

The spelling of 283828608 in words is "two hundred eighty-three million, eight hundred twenty-eight thousand, six hundred eight".