288240792 has 128 divisors (see below), whose sum is σ = 879475200. Its totient is φ = 76889088.

The previous prime is 288240791. The next prime is 288240793. The reversal of 288240792 is 297042882.

It is an interprime number because it is at equal distance from previous prime (288240791) and next prime (288240793).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288240791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232398 + ... + 233634.

It is an arithmetic number, because the mean of its divisors is an integer number (6870900).

Almost surely, 2^288240792 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 288240792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439737600).

288240792 is an abundant number, since it is smaller than the sum of its proper divisors (591234408).

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

288240792 is a wasteful number, since it uses less digits than its factorization.

288240792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 288240792 is about 16977.6556685545. The cubic root of 288240792 is about 660.5694442663.

The spelling of 288240792 in words is "two hundred eighty-eight million, two hundred forty thousand, seven hundred ninety-two".