288029040 has 80 divisors (see below), whose sum is σ = 961584288. Its totient is φ = 70898688.

The previous prime is 288029039. The next prime is 288029057. The reversal of 288029040 is 40920882.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 288028992 and 288029010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43039 + ... + 49278.

Almost surely, 2^288029040 is an apocalyptic number.

288029040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288029040 is an abundant number, since it is smaller than the sum of its proper divisors (673555248).

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

288029040 is a wasteful number, since it uses less digits than its factorization.

288029040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92346 (or 92340 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 288029040 is about 16971.4183261152. The cubic root of 288029040 is about 660.4076453217.

The spelling of 288029040 in words is "two hundred eighty-eight million, twenty-nine thousand, forty".