288200928 has 48 divisors (see below), whose sum is σ = 767200896. Its totient is φ = 94711680.

The previous prime is 288200863. The next prime is 288200929. The reversal of 288200928 is 829002882.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×288200928² = 166119549800122368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288200929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14326 + ... + 27957.

It is an arithmetic number, because the mean of its divisors is an integer number (15983352).

Almost surely, 2^288200928 is an apocalyptic number.

It is an amenable number.

288200928 is an abundant number, since it is smaller than the sum of its proper divisors (478999968).

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

288200928 is a wasteful number, since it uses less digits than its factorization.

288200928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42367 (or 42359 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 288200928 is about 16976.4816142804. The cubic root of 288200928 is about 660.5389903829.

The spelling of 288200928 in words is "two hundred eighty-eight million, two hundred thousand, nine hundred twenty-eight".