214928208 has 160 divisors (see below), whose sum is σ = 695193600. Its totient is φ = 62985600.

The previous prime is 214928201. The next prime is 214928213. The reversal of 214928208 is 802829412.

214928208 is digitally balanced in base 2 and base 3, because in such bases 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214928201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146583 + ... + 148041.

It is an arithmetic number, because the mean of its divisors is an integer number (4344960).

Almost surely, 2^214928208 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 214928208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347596800).

214928208 is an abundant number, since it is smaller than the sum of its proper divisors (480265392).

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

214928208 is a wasteful number, since it uses less digits than its factorization.

214928208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 214928208 is about 14660.4300073361. The cubic root of 214928208 is about 599.0059540305.

The spelling of 214928208 in words is "two hundred fourteen million, nine hundred twenty-eight thousand, two hundred eight".