288775000 has 48 divisors (see below), whose sum is σ = 676831680. Its totient is φ = 115500000.

The previous prime is 288774949. The next prime is 288775009. The reversal of 288775000 is 577882.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288775009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19225 + ... + 30775.

It is an arithmetic number, because the mean of its divisors is an integer number (14100660).

Almost surely, 2^288775000 is an apocalyptic number.

288775000 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 288775000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338415840).

288775000 is an abundant number, since it is smaller than the sum of its proper divisors (388056680).

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

288775000 is an equidigital number, since it uses as much as digits as its factorization.

288775000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11582 (or 11558 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 37.

The square root of 288775000 is about 16993.3810644027. The cubic root of 288775000 is about 660.9772788645.

The spelling of 288775000 in words is "two hundred eighty-eight million, seven hundred seventy-five thousand".