288799632 has 120 divisors (see below), whose sum is σ = 912263040. Its totient is φ = 84483840.

The previous prime is 288799619. The next prime is 288799657. The reversal of 288799632 is 236997882.

It is a happy number.

288799632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42793 + ... + 49079.

It is an arithmetic number, because the mean of its divisors is an integer number (7602192).

Almost surely, 2^288799632 is an apocalyptic number.

288799632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288799632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456131520).

288799632 is an abundant number, since it is smaller than the sum of its proper divisors (623463408).

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

288799632 is a wasteful number, since it uses less digits than its factorization.

288799632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6341 (or 6332 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 288799632 is about 16994.1058017184. The cubic root of 288799632 is about 660.9960717303.

The spelling of 288799632 in words is "two hundred eighty-eight million, seven hundred ninety-nine thousand, six hundred thirty-two".