288233520 has 80 divisors (see below), whose sum is σ = 895871232. Its totient is φ = 76660480.

The previous prime is 288233509. The next prime is 288233537. The reversal of 288233520 is 25332882.

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

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, 104965 + ... + 107675.

Almost surely, 2^288233520 is an apocalyptic number.

288233520 is a gapful number since it is divisible by the number (20) 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 288233520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447935616).

288233520 is an abundant number, since it is smaller than the sum of its proper divisors (607637712).

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

288233520 is a wasteful number, since it uses less digits than its factorization.

288233520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3170 (or 3164 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 288233520 is about 16977.4415033597. The cubic root of 288233520 is about 660.5638890713.

The spelling of 288233520 in words is "two hundred eighty-eight million, two hundred thirty-three thousand, five hundred twenty".