288438100 has 18 divisors (see below), whose sum is σ = 625910894. Its totient is φ = 115375200.

The previous prime is 288438071. The next prime is 288438121. The reversal of 288438100 is 1834882.

It can be written as a sum of positive squares in 3 ways, for example, as 56972304 + 231465796 = 7548^2 + 15214^2 .

It is a super-2 number, since 2×288438100² = 166393075063220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1442091 + ... + 1442290.

Almost surely, 2^288438100 is an apocalyptic number.

288438100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288438100 is an abundant number, since it is smaller than the sum of its proper divisors (337472794).

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

288438100 is a wasteful number, since it uses less digits than its factorization.

288438100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2884395 (or 2884388 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 288438100 is about 16983.4654885274. The cubic root of 288438100 is about 660.7201352990.

The spelling of 288438100 in words is "two hundred eighty-eight million, four hundred thirty-eight thousand, one hundred".