4288872 has 64 divisors (see below), whose sum is σ = 12528000. Its totient is φ = 1223040.

The previous prime is 4288847. The next prime is 4288873. The reversal of 4288872 is 2788824.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4288872.

It is not an unprimeable number, because it can be changed into a prime (4288873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7972 + ... + 8492.

It is an arithmetic number, because the mean of its divisors is an integer number (195750).

Almost surely, 2^4288872 is an apocalyptic number.

4288872 is a gapful number since it is divisible by the number (42) 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 4288872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6264000).

4288872 is an abundant number, since it is smaller than the sum of its proper divisors (8239128).

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

4288872 is a wasteful number, since it uses less digits than its factorization.

4288872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 533 counting only the distinct ones).

The product of its digits is 57344, while the sum is 39.

The square root of 4288872 is about 2070.9591980529. The cubic root of 4288872 is about 162.4729359267.

It can be divided in two parts, 42 and 88872, that multiplied together give a square (3732624 = 1932²).

The spelling of 4288872 in words is "four million, two hundred eighty-eight thousand, eight hundred seventy-two".