288668380 has 96 divisors (see below), whose sum is σ = 813980160. Its totient is φ = 83047680.

The previous prime is 288668329. The next prime is 288668383. The reversal of 288668380 is 83866882.

It is a super-2 number, since 2×288668380² = 166658867223648800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288668383) 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, 12811 + ... + 27229.

It is an arithmetic number, because the mean of its divisors is an integer number (8478960).

Almost surely, 2^288668380 is an apocalyptic number.

288668380 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 288668380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406990080).

288668380 is an abundant number, since it is smaller than the sum of its proper divisors (525311780).

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

288668380 is a wasteful number, since it uses less digits than its factorization.

288668380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14459 (or 14457 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 49.

The square root of 288668380 is about 16990.2436710013. The cubic root of 288668380 is about 660.8959213226.

The spelling of 288668380 in words is "two hundred eighty-eight million, six hundred sixty-eight thousand, three hundred eighty".