288889280 has 112 divisors (see below), whose sum is σ = 715097376. Its totient is φ = 111083520.

The previous prime is 288889277. The next prime is 288889343. The reversal of 288889280 is 82988882.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1272527 + ... + 1272753.

It is an arithmetic number, because the mean of its divisors is an integer number (6384798).

Almost surely, 2^288889280 is an apocalyptic number.

288889280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288889280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357548688).

288889280 is an abundant number, since it is smaller than the sum of its proper divisors (426208096).

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

288889280 is a wasteful number, since it uses less digits than its factorization.

288889280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 53.

The square root of 288889280 is about 16996.7432174520. The cubic root of 288889280 is about 661.0644592198.

The spelling of 288889280 in words is "two hundred eighty-eight million, eight hundred eighty-nine thousand, two hundred eighty".