10360728 has 96 divisors (see below), whose sum is σ = 32691360. Its totient is φ = 2903040.

The previous prime is 10360711. The next prime is 10360729. The reversal of 10360728 is 82706301.

10360728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10360728³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10360729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30576 + ... + 30912.

It is an arithmetic number, because the mean of its divisors is an integer number (340535).

Almost surely, 2^10360728 is an apocalyptic number.

10360728 is a gapful number since it is divisible by the number (18) 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 10360728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16345680).

10360728 is an abundant number, since it is smaller than the sum of its proper divisors (22330632).

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

10360728 is a wasteful number, since it uses less digits than its factorization.

10360728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10360728 is about 3218.8084751970. The cubic root of 10360728 is about 218.0034788885.

It can be divided in two parts, 1036072 and 8, that added together give a triangular number (1036080 = T₁₄₃₉).

The spelling of 10360728 in words is "ten million, three hundred sixty thousand, seven hundred twenty-eight".