288834100 has 36 divisors (see below), whose sum is σ = 638607564. Its totient is φ = 113351680.

The previous prime is 288834089. The next prime is 288834109. The reversal of 288834100 is 1438882.

288834100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2683044 + 286151056 = 1638^2 + 16916^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288834109) 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, 21949 + ... + 32548.

It is an arithmetic number, because the mean of its divisors is an integer number (17739099).

Almost surely, 2^288834100 is an apocalyptic number.

288834100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288834100 is an abundant number, since it is smaller than the sum of its proper divisors (349773464).

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

288834100 is a wasteful number, since it uses less digits than its factorization.

288834100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54564 (or 54557 counting only the distinct ones).

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

The square root of 288834100 is about 16995.1198877796. The cubic root of 288834100 is about 661.0223671311.

The spelling of 288834100 in words is "two hundred eighty-eight million, eight hundred thirty-four thousand, one hundred".