288000029952 has 72 divisors (see below), whose sum is σ = 851666775680. Its totient is φ = 96000007680.

The previous prime is 288000029939. The next prime is 288000029969. The reversal of 288000029952 is 259920000882.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 288000029898 and 288000029907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20826424 + ... + 20840247.

Almost surely, 2^288000029952 is an apocalyptic number.

It is an amenable number.

288000029952 is an abundant number, since it is smaller than the sum of its proper divisors (563666745728).

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

288000029952 is an equidigital number, since it uses as much as digits as its factorization.

288000029952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41666696 (or 41666676 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 288000029952 in words is "two hundred eighty-eight billion, twenty-nine thousand, nine hundred fifty-two".