288206268 has 48 divisors (see below), whose sum is σ = 781589760. Its totient is φ = 80947584.

The previous prime is 288206267. The next prime is 288206279. The reversal of 288206268 is 862602882.

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 (288206267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24121 + ... + 34032.

It is an arithmetic number, because the mean of its divisors is an integer number (16283120).

Almost surely, 2^288206268 is an apocalyptic number.

288206268 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

288206268 is an abundant number, since it is smaller than the sum of its proper divisors (493383492).

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

288206268 is a wasteful number, since it uses less digits than its factorization.

288206268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58226 (or 58224 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 288206268 is about 16976.6388899570. The cubic root of 288206268 is about 660.5430700094.

The spelling of 288206268 in words is "two hundred eighty-eight million, two hundred six thousand, two hundred sixty-eight".