16828100 has 18 divisors (see below), whose sum is σ = 36517194. Its totient is φ = 6731200.

The previous prime is 16828087. The next prime is 16828109. The reversal of 16828100 is 182861.

It can be written as a sum of positive squares in 3 ways, for example, as 2795584 + 14032516 = 1672^2 + 3746^2 .

It is a super-2 number, since 2×16828100² = 566369899220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16828100.

It is not an unprimeable number, because it can be changed into a prime (16828109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 84041 + ... + 84240.

It is an arithmetic number, because the mean of its divisors is an integer number (2028733).

Almost surely, 2^16828100 is an apocalyptic number.

16828100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16828100 is an abundant number, since it is smaller than the sum of its proper divisors (19689094).

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

16828100 is a wasteful number, since it uses less digits than its factorization.

16828100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168295 (or 168288 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 16828100 is about 4102.2067232162. The cubic root of 16828100 is about 256.2585481979.

It can be divided in two parts, 16 and 828100, that multiplied together give a square (13249600 = 3640²).

The spelling of 16828100 in words is "sixteen million, eight hundred twenty-eight thousand, one hundred".