214204928 has 80 divisors (see below), whose sum is σ = 497914560. Its totient is φ = 90157056.

The previous prime is 214204901. The next prime is 214204937. The reversal of 214204928 is 829402412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 214204894 and 214204903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 210950 + ... + 211962.

It is an arithmetic number, because the mean of its divisors is an integer number (6223932).

Almost surely, 2^214204928 is an apocalyptic number.

214204928 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 214204928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248957280).

214204928 is an abundant number, since it is smaller than the sum of its proper divisors (283709632).

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

214204928 is an equidigital number, since it uses as much as digits as its factorization.

214204928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 214204928 is about 14635.7414571316. The cubic root of 214204928 is about 598.3332706053. Note that the first 3 decimals are identical.

The spelling of 214204928 in words is "two hundred fourteen million, two hundred four thousand, nine hundred twenty-eight".