4968288 has 72 divisors (see below), whose sum is σ = 15226848. Its totient is φ = 1527552.

The previous prime is 4968287. The next prime is 4968289. The reversal of 4968288 is 8828694.

It is a happy number.

4968288 is a `hidden beast` number, since 496 + 82 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (4968287) and next prime (4968289).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4968283) 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, 3081 + ... + 4407.

It is an arithmetic number, because the mean of its divisors is an integer number (211484).

Almost surely, 2^4968288 is an apocalyptic number.

4968288 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 4968288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7613424).

4968288 is an abundant number, since it is smaller than the sum of its proper divisors (10258560).

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

4968288 is a wasteful number, since it uses less digits than its factorization.

4968288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1345 counting only the distinct ones).

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

The square root of 4968288 is about 2228.9656794128. The cubic root of 4968288 is about 170.6353159645.

It can be divided in two parts, 49682 and 88, that added together give a triangular number (49770 = T₃₁₅).

The spelling of 4968288 in words is "four million, nine hundred sixty-eight thousand, two hundred eighty-eight".