214451328 has 384 divisors, whose sum is σ = 783457920. Its totient is φ = 50429952.

The previous prime is 214451299. The next prime is 214451329. The reversal of 214451328 is 823154412.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 214451295 and 214451304.

It is not an unprimeable number, because it can be changed into a prime (214451329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11286903 + ... + 11286921.

It is an arithmetic number, because the mean of its divisors is an integer number (2040255).

Almost surely, 2^214451328 is an apocalyptic number.

214451328 is a gapful number since it is divisible by the number (28) 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 214451328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391728960).

214451328 is an abundant number, since it is smaller than the sum of its proper divisors (569006592).

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

214451328 is a wasteful number, since it uses less digits than its factorization.

214451328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 61 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 214451328 is about 14644.1567869236. The cubic root of 214451328 is about 598.5626036806.

The spelling of 214451328 in words is "two hundred fourteen million, four hundred fifty-one thousand, three hundred twenty-eight".