214988928 has 192 divisors, whose sum is σ = 718455360. Its totient is φ = 55756800.

The previous prime is 214988927. The next prime is 214988929. The reversal of 214988928 is 829889412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (214988927) and next prime (214988929).

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (214988927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324918 + ... + 325578.

It is an arithmetic number, because the mean of its divisors is an integer number (3741955).

Almost surely, 2^214988928 is an apocalyptic number.

214988928 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 214988928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359227680).

214988928 is an abundant number, since it is smaller than the sum of its proper divisors (503466432).

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

214988928 is a wasteful number, since it uses less digits than its factorization.

214988928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 684 counting only the distinct ones).

The product of its digits is 663552, while the sum is 51.

The square root of 214988928 is about 14662.5007416880. The cubic root of 214988928 is about 599.0623576970.

The spelling of 214988928 in words is "two hundred fourteen million, nine hundred eighty-eight thousand, nine hundred twenty-eight".