214047288 has 216 divisors, whose sum is σ = 732256200. Its totient is φ = 56294784.

The previous prime is 214047277. The next prime is 214047307. The reversal of 214047288 is 882740412.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 596053 + ... + 596411.

It is an arithmetic number, because the mean of its divisors is an integer number (3390075).

Almost surely, 2^214047288 is an apocalyptic number.

214047288 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 214047288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366128100).

214047288 is an abundant number, since it is smaller than the sum of its proper divisors (518208912).

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

214047288 is a wasteful number, since it uses less digits than its factorization.

214047288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 214047288 is about 14630.3550196159. The cubic root of 214047288 is about 598.1864572942.

The spelling of 214047288 in words is "two hundred fourteen million, forty-seven thousand, two hundred eighty-eight".