288321400 has 48 divisors (see below), whose sum is σ = 671876640. Its totient is φ = 115065600.

The previous prime is 288321391. The next prime is 288321401. The reversal of 288321400 is 4123882.

288321400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288321401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102817 + ... + 105583.

It is an arithmetic number, because the mean of its divisors is an integer number (13997430).

Almost surely, 2^288321400 is an apocalyptic number.

288321400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288321400 is an abundant number, since it is smaller than the sum of its proper divisors (383555240).

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

288321400 is a wasteful number, since it uses less digits than its factorization.

288321400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304 (or 3295 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 288321400 is about 16980.0294463820. The cubic root of 288321400 is about 660.6310157259.

The spelling of 288321400 in words is "two hundred eighty-eight million, three hundred twenty-one thousand, four hundred".