288221040 has 60 divisors (see below), whose sum is σ = 967944744. Its totient is φ = 76858752.

The previous prime is 288221029. The next prime is 288221107. The reversal of 288221040 is 40122882.

It is a tau number, because it is divible by the number of its divisors (60).

It is a junction number, because it is equal to n+sod(n) for n = 288220995 and 288221013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199434 + ... + 200873.

Almost surely, 2^288221040 is an apocalyptic number.

288221040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288221040 is an abundant number, since it is smaller than the sum of its proper divisors (679723704).

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

288221040 is a wasteful number, since it uses less digits than its factorization.

288221040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400326 (or 400317 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 288221040 is about 16977.0739528342. The cubic root of 288221040 is about 660.5543551856.

The spelling of 288221040 in words is "two hundred eighty-eight million, two hundred twenty-one thousand, forty".