10828032 has 72 divisors (see below), whose sum is σ = 30120384. Its totient is φ = 3446784.

The previous prime is 10828019. The next prime is 10828033. The reversal of 10828032 is 23082801.

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 = 10827993 and 10828011.

It is not an unprimeable number, because it can be changed into a prime (10828033) 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, 17358 + ... + 17970.

Almost surely, 2^10828032 is an apocalyptic number.

10828032 is a gapful number since it is divisible by the number (12) 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 10828032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15060192).

10828032 is an abundant number, since it is smaller than the sum of its proper divisors (19292352).

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

10828032 is an equidigital number, since it uses as much as digits as its factorization.

10828032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 10828032 is about 3290.5975141302. The cubic root of 10828032 is about 221.2329668652.

The spelling of 10828032 in words is "ten million, eight hundred twenty-eight thousand, thirty-two".