10828300 has 72 divisors (see below), whose sum is σ = 27776000. Its totient is φ = 3585600.

The previous prime is 10828297. The next prime is 10828313. The reversal of 10828300 is 382801.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21451 + ... + 21949.

Almost surely, 2^10828300 is an apocalyptic number.

10828300 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 10828300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13888000).

10828300 is an abundant number, since it is smaller than the sum of its proper divisors (16947700).

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

10828300 is a wasteful number, since it uses less digits than its factorization.

10828300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 10828300 is about 3290.6382359658. The cubic root of 10828300 is about 221.2347920644.

The spelling of 10828300 in words is "ten million, eight hundred twenty-eight thousand, three hundred".