288189330 has 192 divisors, whose sum is σ = 849429504. Its totient is φ = 62092800.

The previous prime is 288189329. The next prime is 288189331. The reversal of 288189330 is 33981882.

288189330 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (288189329) and next prime (288189331).

It is not an unprimeable number, because it can be changed into a prime (288189331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1462792 + ... + 1462988.

It is an arithmetic number, because the mean of its divisors is an integer number (4424112).

Almost surely, 2^288189330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288189330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424714752).

288189330 is an abundant number, since it is smaller than the sum of its proper divisors (561240174).

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

288189330 is a wasteful number, since it uses less digits than its factorization.

288189330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 288189330 is about 16976.1400206290. The cubic root of 288189330 is about 660.5301296273.

The spelling of 288189330 in words is "two hundred eighty-eight million, one hundred eighty-nine thousand, three hundred thirty".