287926272 has 192 divisors, whose sum is σ = 880588800. Its totient is φ = 92897280.

The previous prime is 287926271. The next prime is 287926279. The reversal of 287926272 is 272629782.

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

It is not an unprimeable number, because it can be changed into a prime (287926271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2267073 + ... + 2267199.

It is an arithmetic number, because the mean of its divisors is an integer number (4586400).

Almost surely, 2^287926272 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 287926272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440294400).

287926272 is an abundant number, since it is smaller than the sum of its proper divisors (592662528).

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

287926272 is a wasteful number, since it uses less digits than its factorization.

287926272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 173 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 287926272 is about 16968.3903774047. The cubic root of 287926272 is about 660.3290920777.

The spelling of 287926272 in words is "two hundred eighty-seven million, nine hundred twenty-six thousand, two hundred seventy-two".