10728032 has 48 divisors (see below), whose sum is σ = 24675840. Its totient is φ = 4495488.

The previous prime is 10728017. The next prime is 10728043. The reversal of 10728032 is 23082701.

It is a junction number, because it is equal to n+sod(n) for n = 10727989 and 10728007.

It is a congruent number.

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, 10019 + ... + 11037.

It is an arithmetic number, because the mean of its divisors is an integer number (514080).

Almost surely, 2^10728032 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 10728032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12337920).

10728032 is an abundant number, since it is smaller than the sum of its proper divisors (13947808).

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

10728032 is a wasteful number, since it uses less digits than its factorization.

10728032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 10728032 is about 3275.3674603012. The cubic root of 10728032 is about 220.5498093813.

The spelling of 10728032 in words is "ten million, seven hundred twenty-eight thousand, thirty-two".