10728680 has 32 divisors (see below), whose sum is σ = 24540840. Its totient is φ = 4220160.

The previous prime is 10728667. The next prime is 10728709. The reversal of 10728680 is 8682701.

10728680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5466244 + 5262436 = 2338^2 + 2294^2 .

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, 242 + ... + 4638.

Almost surely, 2^10728680 is an apocalyptic number.

10728680 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 10728680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12270420).

10728680 is an abundant number, since it is smaller than the sum of its proper divisors (13812160).

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

10728680 is a wasteful number, since it uses less digits than its factorization.

10728680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4469 (or 4465 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 10728680 is about 3275.4663790062. The cubic root of 10728680 is about 220.5542498788.

The spelling of 10728680 in words is "ten million, seven hundred twenty-eight thousand, six hundred eighty".