288449106 has 32 divisors (see below), whose sum is σ = 631084608. Its totient is φ = 87167040.

The previous prime is 288449101. The next prime is 288449113. The reversal of 288449106 is 601944882.

It is a super-3 number, since 3×288449106³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (288449101) 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, 18760 + ... + 30476.

It is an arithmetic number, because the mean of its divisors is an integer number (19721394).

Almost surely, 2^288449106 is an apocalyptic number.

288449106 is an abundant number, since it is smaller than the sum of its proper divisors (342635502).

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

288449106 is a wasteful number, since it uses less digits than its factorization.

288449106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12106.

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 288449106 is about 16983.7895064676. The cubic root of 288449106 is about 660.7285389430.

It can be divided in two parts, 28844 and 9106, that added together give a triangular number (37950 = T₂₇₅).

The spelling of 288449106 in words is "two hundred eighty-eight million, four hundred forty-nine thousand, one hundred six".