5032768 has 56 divisors (see below), whose sum is σ = 11265408. Its totient is φ = 2213376.

The previous prime is 5032723. The next prime is 5032771. The reversal of 5032768 is 8672305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19005 + ... + 19267.

It is an arithmetic number, because the mean of its divisors is an integer number (201168).

Almost surely, 2^5032768 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 5032768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5632704).

5032768 is an abundant number, since it is smaller than the sum of its proper divisors (6232640).

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

5032768 is a wasteful number, since it uses less digits than its factorization.

5032768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 5032768 is about 2243.3831594269. The cubic root of 5032768 is about 171.3703315390.

It can be divided in two parts, 50 and 32768, that multiplied together give a square (1638400 = 1280²).

The spelling of 5032768 in words is "five million, thirty-two thousand, seven hundred sixty-eight".