288986000 has 80 divisors (see below), whose sum is σ = 704740608. Its totient is φ = 114608000.

The previous prime is 288985979. The next prime is 288986057. The reversal of 288986000 is 689882.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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, 261449 + ... + 262551.

Almost surely, 2^288986000 is an apocalyptic number.

288986000 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 288986000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352370304).

288986000 is an abundant number, since it is smaller than the sum of its proper divisors (415754608).

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

288986000 is a wasteful number, since it uses less digits than its factorization.

288986000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The square root of 288986000 is about 16999.5882303072. The cubic root of 288986000 is about 661.1382256819.

The spelling of 288986000 in words is "two hundred eighty-eight million, nine hundred eighty-six thousand".