10829032 has 8 divisors (see below), whose sum is σ = 20304450. Its totient is φ = 5414512.

The previous prime is 10829029. The next prime is 10829033. The reversal of 10829032 is 23092801.

10829032 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 only one way, i.e., 7918596 + 2910436 = 2814^2 + 1706^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 10828988 and 10829006.

It is not an unprimeable number, because it can be changed into a prime (10829033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 676807 + ... + 676822.

Almost surely, 2^10829032 is an apocalyptic number.

It is an amenable number.

10829032 is a deficient number, since it is larger than the sum of its proper divisors (9475418).

10829032 is a wasteful number, since it uses less digits than its factorization.

10829032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353635 (or 1353631 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 10829032 is about 3290.7494587100. The cubic root of 10829032 is about 221.2397771565.

The spelling of 10829032 in words is "ten million, eight hundred twenty-nine thousand, thirty-two".