214128048 has 80 divisors (see below), whose sum is σ = 568463616. Its totient is φ = 69431040.

The previous prime is 214128041. The next prime is 214128059. The reversal of 214128048 is 840821412.

It is not an unprimeable number, because it can be changed into a prime (214128041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282486 + ... + 283242.

Almost surely, 2^214128048 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 214128048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284231808).

214128048 is an abundant number, since it is smaller than the sum of its proper divisors (354335568).

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

214128048 is a wasteful number, since it uses less digits than its factorization.

214128048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 214128048 is about 14633.1147743739. The cubic root of 214128048 is about 598.2616797124.

The spelling of 214128048 in words is "two hundred fourteen million, one hundred twenty-eight thousand, forty-eight".