288728352 has 72 divisors (see below), whose sum is σ = 895723920. Its totient is φ = 87492480.

The previous prime is 288728347. The next prime is 288728369. The reversal of 288728352 is 253827882.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×288728352² = 166728122497271808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 288728298 and 288728307.

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 11 ways as a sum of consecutive naturals, for example, 42402 + ... + 48737.

It is an arithmetic number, because the mean of its divisors is an integer number (12440610).

Almost surely, 2^288728352 is an apocalyptic number.

288728352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

288728352 is an abundant number, since it is smaller than the sum of its proper divisors (606995568).

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

288728352 is a wasteful number, since it uses less digits than its factorization.

288728352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91166 (or 91155 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 288728352 is about 16992.0084745742. The cubic root of 288728352 is about 660.9416860691.

The spelling of 288728352 in words is "two hundred eighty-eight million, seven hundred twenty-eight thousand, three hundred fifty-two".