16028100 has 108 divisors (see below), whose sum is σ = 54840240. Its totient is φ = 3883200.

The previous prime is 16028083. The next prime is 16028113. The reversal of 16028100 is 182061.

It is a super-2 number, since 2×16028100² = 513799979220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 9091 + ... + 10709.

It is an arithmetic number, because the mean of its divisors is an integer number (507780).

Almost surely, 2^16028100 is an apocalyptic number.

16028100 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 16028100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27420120).

16028100 is an abundant number, since it is smaller than the sum of its proper divisors (38812140).

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

16028100 is a wasteful number, since it uses less digits than its factorization.

16028100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 16028100 is about 4003.5109591457. The cubic root of 16028100 is about 252.1316394612.

The spelling of 16028100 in words is "sixteen million, twenty-eight thousand, one hundred".