214294528 has 112 divisors (see below), whose sum is σ = 508004064. Its totient is φ = 88473600.

The previous prime is 214294523. The next prime is 214294607. The reversal of 214294528 is 825492412.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214294523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2121678 + ... + 2121778.

Almost surely, 2^214294528 is an apocalyptic number.

214294528 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 214294528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254002032).

214294528 is an abundant number, since it is smaller than the sum of its proper divisors (293709536).

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

214294528 is an equidigital number, since it uses as much as digits as its factorization.

214294528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 147 counting only the distinct ones).

The product of its digits is 46080, while the sum is 37.

The square root of 214294528 is about 14638.8021367870. The cubic root of 214294528 is about 598.4166847893.

The spelling of 214294528 in words is "two hundred fourteen million, two hundred ninety-four thousand, five hundred twenty-eight".