288196992 has 192 divisors, whose sum is σ = 883116000. Its totient is φ = 90021888.

The previous prime is 288196967. The next prime is 288197003. The reversal of 288196992 is 299691882.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1934134 + ... + 1934282.

Almost surely, 2^288196992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288196992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441558000).

288196992 is an abundant number, since it is smaller than the sum of its proper divisors (594919008).

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

288196992 is a wasteful number, since it uses less digits than its factorization.

288196992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 250 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The square root of 288196992 is about 16976.3656888039. The cubic root of 288196992 is about 660.5359833450.

The spelling of 288196992 in words is "two hundred eighty-eight million, one hundred ninety-six thousand, nine hundred ninety-two".