10501728 has 48 divisors (see below), whose sum is σ = 27800640. Its totient is φ = 3470976.

The previous prime is 10501723. The next prime is 10501769. The reversal of 10501728 is 82710501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10501728² = 220572581971968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10501698 and 10501707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10501723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12951 + ... + 13737.

It is an arithmetic number, because the mean of its divisors is an integer number (579180).

Almost surely, 2^10501728 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 10501728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13900320).

10501728 is an abundant number, since it is smaller than the sum of its proper divisors (17298912).

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

10501728 is a wasteful number, since it uses less digits than its factorization.

10501728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 10501728 is about 3240.6369744234. The cubic root of 10501728 is about 218.9879687308.

The spelling of 10501728 in words is "ten million, five hundred one thousand, seven hundred twenty-eight".