288738252 has 72 divisors (see below), whose sum is σ = 804061440. Its totient is φ = 86634720.

The previous prime is 288738227. The next prime is 288738257. The reversal of 288738252 is 252837882.

It is a junction number, because it is equal to n+sod(n) for n = 288738198 and 288738207.

It is not an unprimeable number, because it can be changed into a prime (288738257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37249 + ... + 44327.

It is an arithmetic number, because the mean of its divisors is an integer number (11167520).

Almost surely, 2^288738252 is an apocalyptic number.

288738252 is a gapful number since it is divisible by the number (22) 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 288738252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402030720).

288738252 is an abundant number, since it is smaller than the sum of its proper divisors (515323188).

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

288738252 is a wasteful number, since it uses less digits than its factorization.

288738252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7203 (or 7198 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 288738252 is about 16992.2997854911. The cubic root of 288738252 is about 660.9492401684.

The spelling of 288738252 in words is "two hundred eighty-eight million, seven hundred thirty-eight thousand, two hundred fifty-two".