7282688 has 56 divisors (see below), whose sum is σ = 16776192. Its totient is φ = 3096576.

The previous prime is 7282679. The next prime is 7282739. The reversal of 7282688 is 8862827.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57281 + ... + 57407.

Almost surely, 2^7282688 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 7282688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8388096).

7282688 is an abundant number, since it is smaller than the sum of its proper divisors (9493504).

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

7282688 is an equidigital number, since it uses as much as digits as its factorization.

7282688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 136 counting only the distinct ones).

The product of its digits is 86016, while the sum is 41.

The square root of 7282688 is about 2698.6455862154. The cubic root of 7282688 is about 193.8342723238.

The spelling of 7282688 in words is "seven million, two hundred eighty-two thousand, six hundred eighty-eight".