10328600 has 48 divisors (see below), whose sum is σ = 24592920. Its totient is φ = 4032000.

The previous prime is 10328569. The next prime is 10328627. The reversal of 10328600 is 682301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8000 + ... + 9200.

Almost surely, 2^10328600 is an apocalyptic number.

10328600 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 10328600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12296460).

10328600 is an abundant number, since it is smaller than the sum of its proper divisors (14264320).

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

10328600 is a wasteful number, since it uses less digits than its factorization.

10328600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 10328600 is about 3213.8139336309. The cubic root of 10328600 is about 217.7779069677. Note that the first 3 decimals are identical.

The spelling of 10328600 in words is "ten million, three hundred twenty-eight thousand, six hundred".