288658048 has 64 divisors (see below), whose sum is σ = 663261120. Its totient is φ = 122572800.

The previous prime is 288658037. The next prime is 288658121. The reversal of 288658048 is 840856882.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 288657992 and 288658010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99823 + ... + 102673.

It is an arithmetic number, because the mean of its divisors is an integer number (10363455).

Almost surely, 2^288658048 is an apocalyptic number.

288658048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288658048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331630560).

288658048 is an abundant number, since it is smaller than the sum of its proper divisors (374603072).

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

288658048 is a wasteful number, since it uses less digits than its factorization.

288658048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2985 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 49.

The square root of 288658048 is about 16989.9396114289. The cubic root of 288658048 is about 660.8880363138. Note that the first 3 decimals are identical.

The spelling of 288658048 in words is "two hundred eighty-eight million, six hundred fifty-eight thousand, forty-eight".