289708000 has 192 divisors, whose sum is σ = 769886208. Its totient is φ = 106867200.

The previous prime is 289707983. The next prime is 289708061. The reversal of 289708000 is 807982.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4323967 + ... + 4324033.

It is an arithmetic number, because the mean of its divisors is an integer number (4009824).

Almost surely, 2^289708000 is an apocalyptic number.

289708000 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 289708000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384943104).

289708000 is an abundant number, since it is smaller than the sum of its proper divisors (480178208).

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

289708000 is a wasteful number, since it uses less digits than its factorization.

289708000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 289708000 is about 17020.8107914987. The cubic root of 289708000 is about 661.6883616989.

The spelling of 289708000 in words is "two hundred eighty-nine million, seven hundred eight thousand".