214321128 has 64 divisors (see below), whose sum is σ = 625397760. Its totient is φ = 59929536.

The previous prime is 214321127. The next prime is 214321139. The reversal of 214321128 is 821123412.

214321128 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 (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 214321098 and 214321107.

It is not an unprimeable number, because it can be changed into a prime (214321127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5676 + ... + 21467.

It is an arithmetic number, because the mean of its divisors is an integer number (9771840).

Almost surely, 2^214321128 is an apocalyptic number.

214321128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

214321128 is an abundant number, since it is smaller than the sum of its proper divisors (411076632).

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

214321128 is a wasteful number, since it uses less digits than its factorization.

214321128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27206 (or 27202 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 214321128 is about 14639.7106528784. The cubic root of 214321128 is about 598.4414438991.

The spelling of 214321128 in words is "two hundred fourteen million, three hundred twenty-one thousand, one hundred twenty-eight".