288830048 has 48 divisors (see below), whose sum is σ = 620829216. Its totient is φ = 131466240.

The previous prime is 288830041. The next prime is 288830057. The reversal of 288830048 is 840038882.

It is a junction number, because it is equal to n+sod(n) for n = 288829987 and 288830014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288830041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25613 + ... + 35123.

It is an arithmetic number, because the mean of its divisors is an integer number (12933942).

Almost surely, 2^288830048 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 288830048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310414608).

288830048 is an abundant number, since it is smaller than the sum of its proper divisors (331999168).

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

288830048 is a wasteful number, since it uses less digits than its factorization.

288830048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9607 (or 9599 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 41.

The square root of 288830048 is about 16995.0006766696. Note that the first 3 decimals coincide. The cubic root of 288830048 is about 661.0192759966.

The spelling of 288830048 in words is "two hundred eighty-eight million, eight hundred thirty thousand, forty-eight".