288808020 has 72 divisors (see below), whose sum is σ = 877653504. Its totient is φ = 76874688.

The previous prime is 288807979. The next prime is 288808027. The reversal of 288808020 is 20808882.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288808027) 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, 129757 + ... + 131963.

It is an arithmetic number, because the mean of its divisors is an integer number (12189632).

Almost surely, 2^288808020 is an apocalyptic number.

288808020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288808020 is an abundant number, since it is smaller than the sum of its proper divisors (588845484).

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

288808020 is a wasteful number, since it uses less digits than its factorization.

288808020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2949 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 288808020 is about 16994.3525913758. The cubic root of 288808020 is about 661.0024710706.

The spelling of 288808020 in words is "two hundred eighty-eight million, eight hundred eight thousand, twenty".