289537248 has 384 divisors, whose sum is σ = 1072963584. Its totient is φ = 65894400.

The previous prime is 289537243. The next prime is 289537253. The reversal of 289537248 is 842735982.

It is an interprime number because it is at equal distance from previous prime (289537243) and next prime (289537253).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 289537197 and 289537206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289537243) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2210143 + ... + 2210273.

It is an arithmetic number, because the mean of its divisors is an integer number (2794176).

Almost surely, 2^289537248 is an apocalyptic number.

289537248 is a gapful number since it is divisible by the number (28) 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 289537248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536481792).

289537248 is an abundant number, since it is smaller than the sum of its proper divisors (783426336).

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

289537248 is a wasteful number, since it uses less digits than its factorization.

289537248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 190 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 289537248 is about 17015.7940749176. The cubic root of 289537248 is about 661.5583378865.

The spelling of 289537248 in words is "two hundred eighty-nine million, five hundred thirty-seven thousand, two hundred forty-eight".