287692272 has 120 divisors (see below), whose sum is σ = 924449760. Its totient is φ = 81815040.

The previous prime is 287692271. The next prime is 287692277. The reversal of 287692272 is 272296782.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287692271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270622 + ... + 271682.

It is an arithmetic number, because the mean of its divisors is an integer number (7703748).

Almost surely, 2^287692272 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 287692272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462224880).

287692272 is an abundant number, since it is smaller than the sum of its proper divisors (636757488).

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

287692272 is a wasteful number, since it uses less digits than its factorization.

287692272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1342 counting only the distinct ones).

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

The square root of 287692272 is about 16961.4938021390. The cubic root of 287692272 is about 660.1501586718.

The spelling of 287692272 in words is "two hundred eighty-seven million, six hundred ninety-two thousand, two hundred seventy-two".