4288320 has 84 divisors (see below), whose sum is σ = 14759940. Its totient is φ = 1142784.

The previous prime is 4288309. The next prime is 4288321. The reversal of 4288320 is 238824.

It can be written as a sum of positive squares in 2 ways, for example, as 1218816 + 3069504 = 1104^2 + 1752^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4288321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2136 + ... + 3624.

Almost surely, 2^4288320 is an apocalyptic number.

4288320 is a gapful number since it is divisible by the number (40) 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 4288320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7379970).

4288320 is an abundant number, since it is smaller than the sum of its proper divisors (10471620).

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

4288320 is a wasteful number, since it uses less digits than its factorization.

4288320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4288320 is about 2070.8259221866. The cubic root of 4288320 is about 162.4659652587.

The spelling of 4288320 in words is "four million, two hundred eighty-eight thousand, three hundred twenty".