288149652 has 72 divisors (see below), whose sum is σ = 834724800. Its totient is φ = 82101888.

The previous prime is 288149639. The next prime is 288149657. The reversal of 288149652 is 256941882.

It is a super-2 number, since 2×288149652² = 166060443895442208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 288149598 and 288149607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288149657) 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 23 ways as a sum of consecutive naturals, for example, 104224 + ... + 106952.

It is an arithmetic number, because the mean of its divisors is an integer number (11593400).

Almost surely, 2^288149652 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 288149652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417362400).

288149652 is an abundant number, since it is smaller than the sum of its proper divisors (546575148).

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

288149652 is a wasteful number, since it uses less digits than its factorization.

288149652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3165 (or 3160 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 288149652 is about 16974.9713401820. The cubic root of 288149652 is about 660.4998142354.

The spelling of 288149652 in words is "two hundred eighty-eight million, one hundred forty-nine thousand, six hundred fifty-two".