288806000 has 160 divisors (see below), whose sum is σ = 816316800. Its totient is φ = 98784000.

The previous prime is 288805997. The next prime is 288806057. The reversal of 288806000 is 608882.

288806000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×288806000³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 685790 + ... + 686210.

It is an arithmetic number, because the mean of its divisors is an integer number (5101980).

Almost surely, 2^288806000 is an apocalyptic number.

288806000 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 288806000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408158400).

288806000 is an abundant number, since it is smaller than the sum of its proper divisors (527510800).

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

288806000 is an equidigital number, since it uses as much as digits as its factorization.

288806000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 288806000 is about 16994.2931597640. The cubic root of 288806000 is about 661.0009299914. Note that the first 3 decimals are identical.

The spelling of 288806000 in words is "two hundred eighty-eight million, eight hundred six thousand".