288691380 has 72 divisors (see below), whose sum is σ = 880634664. Its totient is φ = 76550400.

The previous prime is 288691363. The next prime is 288691393. The reversal of 288691380 is 83196882.

It can be written as a sum of positive squares in 4 ways, for example, as 28772496 + 259918884 = 5364^2 + 16122^2 .

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 23 ways as a sum of consecutive naturals, for example, 28150 + ... + 37010.

It is an arithmetic number, because the mean of its divisors is an integer number (12231037).

Almost surely, 2^288691380 is an apocalyptic number.

288691380 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 288691380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440317332).

288691380 is an abundant number, since it is smaller than the sum of its proper divisors (591943284).

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

288691380 is a wasteful number, since it uses less digits than its factorization.

288691380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9057 (or 9052 counting only the distinct ones).

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

The square root of 288691380 is about 16990.9205165582. The cubic root of 288691380 is about 660.9134734153.

The spelling of 288691380 in words is "two hundred eighty-eight million, six hundred ninety-one thousand, three hundred eighty".