214781328 has 80 divisors (see below), whose sum is σ = 618313600. Its totient is φ = 71383680.

The previous prime is 214781327. The next prime is 214781363. The reversal of 214781328 is 823187412.

It is a super-2 number, since 2×214781328² = 92262037714887168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 214781292 and 214781301.

It is not an unprimeable number, because it can be changed into a prime (214781323) 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, 233253 + ... + 234171.

It is an arithmetic number, because the mean of its divisors is an integer number (7728920).

Almost surely, 2^214781328 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 214781328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309156800).

214781328 is an abundant number, since it is smaller than the sum of its proper divisors (403532272).

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

214781328 is a wasteful number, since it uses less digits than its factorization.

214781328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1465 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 214781328 is about 14655.4197483388. The cubic root of 214781328 is about 598.8694711789.

The spelling of 214781328 in words is "two hundred fourteen million, seven hundred eighty-one thousand, three hundred twenty-eight".