288930 has 16 divisors (see below), whose sum is σ = 693504. Its totient is φ = 77040.

The previous prime is 288929. The next prime is 288931. The reversal of 288930 is 39882.

It is an interprime number because it is at equal distance from previous prime (288929) and next prime (288931).

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 9631 = 288930 / (2 + 8 + 8 + 9 + 3 + 0).

It is not an unprimeable number, because it can be changed into a prime (288931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4786 + ... + 4845.

It is an arithmetic number, because the mean of its divisors is an integer number (43344).

2²⁸⁸⁹³⁰ is an apocalyptic number.

288930 is an abundant number, since it is smaller than the sum of its proper divisors (404574).

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

288930 is a wasteful number, since it uses less digits than its factorization.

288930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9641.

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 288930 is about 537.5220925692. The cubic root of 288930 is about 66.1095517578.

The spelling of 288930 in words is "two hundred eighty-eight thousand, nine hundred thirty".