16128900 has 54 divisors (see below), whose sum is σ = 50557962. Its totient is φ = 4300800.

The previous prime is 16128887. The next prime is 16128941. The reversal of 16128900 is 982161.

16128900 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 112896 + 16016004 = 336^2 + 4002^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8061 + ... + 9860.

Almost surely, 2^16128900 is an apocalyptic number.

16128900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16128900 is an abundant number, since it is smaller than the sum of its proper divisors (34429062).

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

16128900 is a wasteful number, since it uses less digits than its factorization.

16128900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17941 (or 17931 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 16128900 is about 4016.0801784825. The cubic root of 16128900 is about 252.6590834912.

The spelling of 16128900 in words is "sixteen million, one hundred twenty-eight thousand, nine hundred".