288906282 has 48 divisors (see below), whose sum is σ = 723453120. Its totient is φ = 81614016.

The previous prime is 288906217. The next prime is 288906311. The reversal of 288906282 is 282609882.

288906282 is a `hidden beast` number, since 288 + 90 + 6 + 282 = 666.

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, 1668 + ... + 24095.

It is an arithmetic number, because the mean of its divisors is an integer number (15071940).

Almost surely, 2^288906282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288906282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361726560).

288906282 is an abundant number, since it is smaller than the sum of its proper divisors (434546838).

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

288906282 is a wasteful number, since it uses less digits than its factorization.

288906282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25867 (or 25864 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 288906282 is about 16997.2433647342. The cubic root of 288906282 is about 661.0774275070.

It can be divided in two parts, 28 and 8906282, that added together give a triangular number (8906310 = T₄₂₂₀).

The spelling of 288906282 in words is "two hundred eighty-eight million, nine hundred six thousand, two hundred eighty-two".