4288896 has 128 divisors (see below), whose sum is σ = 13586400. Its totient is φ = 1327104.

The previous prime is 4288883. The next prime is 4288901. The reversal of 4288896 is 6988824.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58716 + ... + 58788.

Almost surely, 2^4288896 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 4288896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6793200).

4288896 is an abundant number, since it is smaller than the sum of its proper divisors (9297504).

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

4288896 is a wasteful number, since it uses less digits than its factorization.

4288896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 95 counting only the distinct ones).

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

The square root of 4288896 is about 2070.9649924612. The cubic root of 4288896 is about 162.4732389857.

It can be divided in two parts, 4288 and 896, that added together give a square (5184 = 72²).

The spelling of 4288896 in words is "four million, two hundred eighty-eight thousand, eight hundred ninety-six".