5365728 has 72 divisors (see below), whose sum is σ = 15777216. Its totient is φ = 1728000.

The previous prime is 5365691. The next prime is 5365741. The reversal of 5365728 is 8275635.

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 a junction number, because it is equal to n+sod(n) for n = 5365692 and 5365701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8628 + ... + 9228.

It is an arithmetic number, because the mean of its divisors is an integer number (219128).

Almost surely, 2^5365728 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 5365728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7888608).

5365728 is an abundant number, since it is smaller than the sum of its proper divisors (10411488).

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

5365728 is a wasteful number, since it uses less digits than its factorization.

5365728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 637 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 5365728 is about 2316.4041098219. The cubic root of 5365728 is about 175.0691209945.

The spelling of 5365728 in words is "five million, three hundred sixty-five thousand, seven hundred twenty-eight".