214528000 has 104 divisors (see below), whose sum is σ = 536674320. Its totient is φ = 85606400.

The previous prime is 214527997. The next prime is 214528021. The reversal of 214528000 is 825412.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 511791 + ... + 512209.

It is an arithmetic number, because the mean of its divisors is an integer number (5160330).

Almost surely, 2^214528000 is an apocalyptic number.

214528000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268337160).

214528000 is an abundant number, since it is smaller than the sum of its proper divisors (322146320).

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

214528000 is an frugal number, since it uses more digits than its factorization.

214528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 214528000 is about 14646.7743889226. The cubic root of 214528000 is about 598.6339291482.

The spelling of 214528000 in words is "two hundred fourteen million, five hundred twenty-eight thousand".