216786528 has 144 divisors (see below), whose sum is σ = 709502976. Its totient is φ = 61505280.

The previous prime is 216786527. The next prime is 216786547. The reversal of 216786528 is 825687612.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216786527) 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, 384775 + ... + 385337.

It is an arithmetic number, because the mean of its divisors is an integer number (4927104).

Almost surely, 2^216786528 is an apocalyptic number.

216786528 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 216786528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354751488).

216786528 is an abundant number, since it is smaller than the sum of its proper divisors (492716448).

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

216786528 is a wasteful number, since it uses less digits than its factorization.

216786528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 766 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 216786528 is about 14723.6723679930. The cubic root of 216786528 is about 600.7273844966.

The spelling of 216786528 in words is "two hundred sixteen million, seven hundred eighty-six thousand, five hundred twenty-eight".