214828320 has 192 divisors, whose sum is σ = 819092736. Its totient is φ = 46202880.

The previous prime is 214828309. The next prime is 214828333. The reversal of 214828320 is 23828412.

214828320 is digitally balanced in base 3, 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 (30).

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, 55240 + ... + 59000.

It is an arithmetic number, because the mean of its divisors is an integer number (4266108).

Almost surely, 2^214828320 is an apocalyptic number.

214828320 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 214828320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409546368).

214828320 is an abundant number, since it is smaller than the sum of its proper divisors (604264416).

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

214828320 is a wasteful number, since it uses less digits than its factorization.

214828320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3803 (or 3795 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 214828320 is about 14657.0228900688. The cubic root of 214828320 is about 598.9131435383.

The spelling of 214828320 in words is "two hundred fourteen million, eight hundred twenty-eight thousand, three hundred twenty".