214628128 has 192 divisors, whose sum is σ = 548674560. Its totient is φ = 81100800.

The previous prime is 214628107. The next prime is 214628147. The reversal of 214628128 is 821826412.

214628128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 214628093 and 214628102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2411508 + ... + 2411596.

It is an arithmetic number, because the mean of its divisors is an integer number (2857680).

Almost surely, 2^214628128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214628128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274337280).

214628128 is an abundant number, since it is smaller than the sum of its proper divisors (334046432).

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

214628128 is a wasteful number, since it uses less digits than its factorization.

214628128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 163 counting only the distinct ones).

The product of its digits is 12288, while the sum is 34.

The square root of 214628128 is about 14650.1920806520. The cubic root of 214628128 is about 598.7270493859.

The spelling of 214628128 in words is "two hundred fourteen million, six hundred twenty-eight thousand, one hundred twenty-eight".