288680448 has 80 divisors (see below), whose sum is σ = 878961600. Its totient is φ = 82477056.

The previous prime is 288680437. The next prime is 288680449. The reversal of 288680448 is 844086882.

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 = 288680397 and 288680406.

It is not an unprimeable number, because it can be changed into a prime (288680449) 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, 2673 + ... + 24176.

It is an arithmetic number, because the mean of its divisors is an integer number (10987020).

Almost surely, 2^288680448 is an apocalyptic number.

288680448 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 288680448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439480800).

288680448 is an abundant number, since it is smaller than the sum of its proper divisors (590281152).

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

288680448 is an equidigital number, since it uses as much as digits as its factorization.

288680448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26877 (or 26861 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 48.

The square root of 288680448 is about 16990.5988122844. The cubic root of 288680448 is about 660.9051309455.

The spelling of 288680448 in words is "two hundred eighty-eight million, six hundred eighty thousand, four hundred forty-eight".