5148288 has 96 divisors (see below), whose sum is σ = 15315300. Its totient is φ = 1658880.

The previous prime is 5148287. The next prime is 5148289. The reversal of 5148288 is 8828415.

5148288 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (5148287) and next prime (5148289).

It can be written as a sum of positive squares in 2 ways, for example, as 4981824 + 166464 = 2232^2 + 408^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5148287) 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, 47178 + ... + 47286.

Almost surely, 2^5148288 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 5148288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7657650).

5148288 is an abundant number, since it is smaller than the sum of its proper divisors (10167012).

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

5148288 is a wasteful number, since it uses less digits than its factorization.

5148288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 155 counting only the distinct ones).

The product of its digits is 20480, while the sum is 36.

The square root of 5148288 is about 2268.9839135613. The cubic root of 5148288 is about 172.6716124527.

The spelling of 5148288 in words is "five million, one hundred forty-eight thousand, two hundred eighty-eight".