4812288 has 80 divisors (see below), whose sum is σ = 13863696. Its totient is φ = 1474560.

The previous prime is 4812287. The next prime is 4812299. The reversal of 4812288 is 8822184.

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 not an unprimeable number, because it can be changed into a prime (4812281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19848 + ... + 20088.

Almost surely, 2^4812288 is an apocalyptic number.

4812288 is a gapful number since it is divisible by the number (48) 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 4812288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6931848).

4812288 is an abundant number, since it is smaller than the sum of its proper divisors (9051408).

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

4812288 is a wasteful number, since it uses less digits than its factorization.

4812288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 259 counting only the distinct ones).

The product of its digits is 8192, while the sum is 33.

The square root of 4812288 is about 2193.6927770315. The cubic root of 4812288 is about 168.8303562425.

It can be divided in two parts, 48 and 12288, that multiplied together give a square (589824 = 768²).

The spelling of 4812288 in words is "four million, eight hundred twelve thousand, two hundred eighty-eight".