288546916 has 48 divisors (see below), whose sum is σ = 612614016. Its totient is φ = 116089344.

The previous prime is 288546913. The next prime is 288546917. The reversal of 288546916 is 619645882.

It is a super-2 number, since 2×288546916² = 166518645466222112, which contains 22 as substring.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 288546916.

It is not an unprimeable number, because it can be changed into a prime (288546913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348495 + ... + 349321.

It is an arithmetic number, because the mean of its divisors is an integer number (12762792).

Almost surely, 2^288546916 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 288546916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306307008).

288546916 is an abundant number, since it is smaller than the sum of its proper divisors (324067100).

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

288546916 is a wasteful number, since it uses less digits than its factorization.

288546916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1586 counting only the distinct ones).

The product of its digits is 829440, while the sum is 49.

The square root of 288546916 is about 16986.6687728936. The cubic root of 288546916 is about 660.8032124917.

The spelling of 288546916 in words is "two hundred eighty-eight million, five hundred forty-six thousand, nine hundred sixteen".