288948960 has 288 divisors, whose sum is σ = 1061424000. Its totient is φ = 71359488.

The previous prime is 288948917. The next prime is 288948967. The reversal of 288948960 is 69849882.

288948960 is a `hidden beast` number, since 28 + 89 + 489 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 288948897 and 288948906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288948967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1614151 + ... + 1614329.

It is an arithmetic number, because the mean of its divisors is an integer number (3685500).

Almost surely, 2^288948960 is an apocalyptic number.

288948960 is a gapful number since it is divisible by the number (20) 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 288948960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530712000).

288948960 is an abundant number, since it is smaller than the sum of its proper divisors (772475040).

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

288948960 is a wasteful number, since it uses less digits than its factorization.

288948960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 288948960 is about 16998.4987572432. The cubic root of 288948960 is about 661.1099779396.

The spelling of 288948960 in words is "two hundred eighty-eight million, nine hundred forty-eight thousand, nine hundred sixty".