283228800 has 192 divisors, whose sum is σ = 943793760. Its totient is φ = 74649600.

The previous prime is 283228793. The next prime is 283228811. The reversal of 283228800 is 8822382.

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

It is an unprimeable number.

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, 1564710 + ... + 1564890.

Almost surely, 2^283228800 is an apocalyptic number.

283228800 is a gapful number since it is divisible by the number (20) 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 283228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471896880).

283228800 is an abundant number, since it is smaller than the sum of its proper divisors (660564960).

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

283228800 is a wasteful number, since it uses less digits than its factorization.

283228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 283228800 is about 16829.4028414558. The cubic root of 283228800 is about 656.7183287391.

The spelling of 283228800 in words is "two hundred eighty-three million, two hundred twenty-eight thousand, eight hundred".