288144990 has 144 divisors (see below), whose sum is σ = 878387328. Its totient is φ = 65342592.

The previous prime is 288144979. The next prime is 288145001. The reversal of 288144990 is 99441882.

It is an interprime number because it is at equal distance from previous prime (288144979) and next prime (288145001).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 983284 + ... + 983576.

It is an arithmetic number, because the mean of its divisors is an integer number (6099912).

Almost surely, 2^288144990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288144990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439193664).

288144990 is an abundant number, since it is smaller than the sum of its proper divisors (590242338).

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

288144990 is a wasteful number, since it uses less digits than its factorization.

288144990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 288144990 is about 16974.8340198071. The cubic root of 288144990 is about 660.4962521203.

The spelling of 288144990 in words is "two hundred eighty-eight million, one hundred forty-four thousand, nine hundred ninety".