5028768 has 72 divisors (see below), whose sum is σ = 15069600. Its totient is φ = 1586304.

The previous prime is 5028761. The next prime is 5028791. The reversal of 5028768 is 8678205.

5028768 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

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 (5028761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5013 + ... + 5931.

It is an arithmetic number, because the mean of its divisors is an integer number (209300).

Almost surely, 2^5028768 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 5028768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7534800).

5028768 is an abundant number, since it is smaller than the sum of its proper divisors (10040832).

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

5028768 is a wasteful number, since it uses less digits than its factorization.

5028768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5028768 is about 2242.4914715557. The cubic root of 5028768 is about 171.3249182918.

The spelling of 5028768 in words is "five million, twenty-eight thousand, seven hundred sixty-eight".