288228720 has 80 divisors (see below), whose sum is σ = 962250912. Its totient is φ = 70947840.

The previous prime is 288228719. The next prime is 288228737. The reversal of 288228720 is 27822882.

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

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43071 + ... + 49310.

Almost surely, 2^288228720 is an apocalyptic number.

288228720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288228720 is an abundant number, since it is smaller than the sum of its proper divisors (674022192).

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

288228720 is a wasteful number, since it uses less digits than its factorization.

288228720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92410 (or 92404 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 288228720 is about 16977.3001387146. The cubic root of 288228720 is about 660.5602222247.

The spelling of 288228720 in words is "two hundred eighty-eight million, two hundred twenty-eight thousand, seven hundred twenty".