288959538 has 64 divisors (see below), whose sum is σ = 688849920. Its totient is φ = 79060800.

The previous prime is 288959537. The next prime is 288959569. The reversal of 288959538 is 835959882.

It is a super-2 number, since 2×288959538² = 166995229202346888, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (288959533) 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, 158653 + ... + 160463.

It is an arithmetic number, because the mean of its divisors is an integer number (10763280).

Almost surely, 2^288959538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288959538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344424960).

288959538 is an abundant number, since it is smaller than the sum of its proper divisors (399890382).

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

288959538 is a wasteful number, since it uses less digits than its factorization.

288959538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1983.

The product of its digits is 6220800, while the sum is 57.

The square root of 288959538 is about 16998.8098995194. The cubic root of 288959538 is about 661.1180452651.

The spelling of 288959538 in words is "two hundred eighty-eight million, nine hundred fifty-nine thousand, five hundred thirty-eight".