16428100 has 36 divisors (see below), whose sum is σ = 38394244. Its totient is φ = 6065280.

The previous prime is 16428091. The next prime is 16428119. The reversal of 16428100 is 182461.

16428100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 4813636 + 11614464 = 2194^2 + 3408^2 .

It is a super-2 number, since 2×16428100² = 539764939220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5019 + ... + 7618.

Almost surely, 2^16428100 is an apocalyptic number.

16428100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16428100 is an abundant number, since it is smaller than the sum of its proper divisors (21966144).

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

16428100 is a wasteful number, since it uses less digits than its factorization.

16428100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12664 (or 12657 counting only the distinct ones).

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

The square root of 16428100 is about 4053.1592616131. The cubic root of 16428100 is about 254.2118430253.

The spelling of 16428100 in words is "sixteen million, four hundred twenty-eight thousand, one hundred".