289755648 has 240 divisors, whose sum is σ = 1030725696. Its totient is φ = 76308480.

The previous prime is 289755607. The next prime is 289755659. The reversal of 289755648 is 846557982.

289755648 is a `hidden beast` number, since 2 + 8 + 9 + 75 + 564 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 289755594 and 289755603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418983 + ... + 419673.

Almost surely, 2^289755648 is an apocalyptic number.

289755648 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 289755648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515362848).

289755648 is an abundant number, since it is smaller than the sum of its proper divisors (740970048).

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

289755648 is a wasteful number, since it uses less digits than its factorization.

289755648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 716 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The square root of 289755648 is about 17022.2104322559. The cubic root of 289755648 is about 661.7246354627.

The spelling of 289755648 in words is "two hundred eighty-nine million, seven hundred fifty-five thousand, six hundred forty-eight".