289248000 has 288 divisors, whose sum is σ = 1010161152. Its totient is φ = 73216000.

The previous prime is 289247983. The next prime is 289248017. The reversal of 289248000 is 842982.

It is an interprime number because it is at equal distance from previous prime (289247983) and next prime (289248017).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2207935 + ... + 2208065.

It is an arithmetic number, because the mean of its divisors is an integer number (3507504).

Almost surely, 2^289248000 is an apocalyptic number.

289248000 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 289248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505080576).

289248000 is an abundant number, since it is smaller than the sum of its proper divisors (720913152).

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

289248000 is a wasteful number, since it uses less digits than its factorization.

289248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 289248000 is about 17007.2925534901. The cubic root of 289248000 is about 661.3379653393.

The spelling of 289248000 in words is "two hundred eighty-nine million, two hundred forty-eight thousand".