288121032 has 96 divisors (see below), whose sum is σ = 854825400. Its totient is φ = 87263232.

The previous prime is 288121021. The next prime is 288121039. The reversal of 288121032 is 230121882.

It can be written as a sum of positive squares in 4 ways, for example, as 288116676 + 4356 = 16974^2 + 66^2 .

It is a junction number, because it is equal to n+sod(n) for n = 288120987 and 288121005.

It is not an unprimeable number, because it can be changed into a prime (288121039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31438 + ... + 39554.

Almost surely, 2^288121032 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 288121032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427412700).

288121032 is an abundant number, since it is smaller than the sum of its proper divisors (566704368).

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

288121032 is a wasteful number, since it uses less digits than its factorization.

288121032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8175 (or 8168 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 288121032 is about 16974.1283134068. The cubic root of 288121032 is about 660.4779458181.

It can be divided in two parts, 288 and 121032, that multiplied together give a square (34857216 = 5904²).

The spelling of 288121032 in words is "two hundred eighty-eight million, one hundred twenty-one thousand, thirty-two".