288541080 has 48 divisors (see below), whose sum is σ = 937759680. Its totient is φ = 76944192.

The previous prime is 288541069. The next prime is 288541081. The reversal of 288541080 is 80145882.

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 (288541081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 400392 + ... + 401111.

It is an arithmetic number, because the mean of its divisors is an integer number (19536660).

Almost surely, 2^288541080 is an apocalyptic number.

288541080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288541080 is an abundant number, since it is smaller than the sum of its proper divisors (649218600).

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

288541080 is a wasteful number, since it uses less digits than its factorization.

288541080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801520 (or 801513 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 288541080 is about 16986.4969902567. The cubic root of 288541080 is about 660.7987574409.

The spelling of 288541080 in words is "two hundred eighty-eight million, five hundred forty-one thousand, eighty".