4288968 has 48 divisors (see below), whose sum is σ = 11793600. Its totient is φ = 1407840.

The previous prime is 4288957. The next prime is 4288979. The reversal of 4288968 is 8698824.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4288957) and next prime (4288979).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4693 + ... + 5531.

It is an arithmetic number, because the mean of its divisors is an integer number (245700).

Almost surely, 2^4288968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4288968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5896800).

4288968 is an abundant number, since it is smaller than the sum of its proper divisors (7504632).

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

4288968 is a wasteful number, since it uses less digits than its factorization.

4288968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 915 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 4288968 is about 2070.9823755889. The cubic root of 4288968 is about 162.4741481557.

The spelling of 4288968 in words is "four million, two hundred eighty-eight thousand, nine hundred sixty-eight".