288742120 has 64 divisors (see below), whose sum is σ = 661893120. Its totient is φ = 113347584.

The previous prime is 288742109. The next prime is 288742121. The reversal of 288742120 is 21247882.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (288742121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 573789 + ... + 574291.

It is an arithmetic number, because the mean of its divisors is an integer number (10342080).

Almost surely, 2^288742120 is an apocalyptic number.

288742120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288742120 is an abundant number, since it is smaller than the sum of its proper divisors (373151000).

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

288742120 is a wasteful number, since it uses less digits than its factorization.

288742120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The square root of 288742120 is about 16992.4136013693. The cubic root of 288742120 is about 660.9521915615.

The spelling of 288742120 in words is "two hundred eighty-eight million, seven hundred forty-two thousand, one hundred twenty".