288141000 has 128 divisors (see below), whose sum is σ = 1027503360. Its totient is φ = 65856000.

The previous prime is 288140999. The next prime is 288141011. The reversal of 288141000 is 141882.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 14140 + ... + 27860.

It is an arithmetic number, because the mean of its divisors is an integer number (8027370).

Almost surely, 2^288141000 is an apocalyptic number.

288141000 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 288141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513751680).

288141000 is an abundant number, since it is smaller than the sum of its proper divisors (739362360).

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

288141000 is a wasteful number, since it uses less digits than its factorization.

288141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13752 (or 13738 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 288141000 is about 16974.7164924779. The cubic root of 288141000 is about 660.4932034326.

Adding to 288141000 its reverse (141882), we get a palindrome (288282882).

The spelling of 288141000 in words is "two hundred eighty-eight million, one hundred forty-one thousand".