10728660 has 48 divisors (see below), whose sum is σ = 30252096. Its totient is φ = 2840832.

The previous prime is 10728659. The next prime is 10728667. The reversal of 10728660 is 6682701.

It is a happy number.

10728660 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10728667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9232 + ... + 10328.

It is an arithmetic number, because the mean of its divisors is an integer number (630252).

Almost surely, 2^10728660 is an apocalyptic number.

10728660 is a gapful number since it is divisible by the number (10) 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 10728660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15126048).

10728660 is an abundant number, since it is smaller than the sum of its proper divisors (19523436).

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

10728660 is a wasteful number, since it uses less digits than its factorization.

10728660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 10728660 is about 3275.4633260044. The cubic root of 10728660 is about 220.5541128291.

The spelling of 10728660 in words is "ten million, seven hundred twenty-eight thousand, six hundred sixty".