289873728 has 224 divisors, whose sum is σ = 916432000. Its totient is φ = 90699264.

The previous prime is 289873723. The next prime is 289873811. The reversal of 289873728 is 827378982.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289873723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2659338 + ... + 2659446.

Almost surely, 2^289873728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289873728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458216000).

289873728 is an abundant number, since it is smaller than the sum of its proper divisors (626558272).

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

289873728 is an equidigital number, since it uses as much as digits as its factorization.

289873728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 133 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 289873728 is about 17025.6784886829. The cubic root of 289873728 is about 661.8145109998.

The spelling of 289873728 in words is "two hundred eighty-nine million, eight hundred seventy-three thousand, seven hundred twenty-eight".