288842080 has 24 divisors (see below), whose sum is σ = 682389792. Its totient is φ = 115536768.

The previous prime is 288842033. The next prime is 288842101. The reversal of 288842080 is 80248882.

It is a happy number.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 902472 + ... + 902791.

It is an arithmetic number, because the mean of its divisors is an integer number (28432908).

Almost surely, 2^288842080 is an apocalyptic number.

288842080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288842080 is an abundant number, since it is smaller than the sum of its proper divisors (393547712).

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

288842080 is a wasteful number, since it uses less digits than its factorization.

288842080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805278 (or 1805270 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The square root of 288842080 is about 16995.3546594356. The cubic root of 288842080 is about 661.0284547202.

The spelling of 288842080 in words is "two hundred eighty-eight million, eight hundred forty-two thousand, eighty".