216725328 has 80 divisors (see below), whose sum is σ = 625456000. Its totient is φ = 71850240.

The previous prime is 216725293. The next prime is 216725329. The reversal of 216725328 is 823527612.

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

It is a junction number, because it is equal to n+sod(n) for n = 216725292 and 216725301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216725329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84708 + ... + 87228.

It is an arithmetic number, because the mean of its divisors is an integer number (7818200).

Almost surely, 2^216725328 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 216725328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312728000).

216725328 is an abundant number, since it is smaller than the sum of its proper divisors (408730672).

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

216725328 is a wasteful number, since it uses less digits than its factorization.

216725328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2737 (or 2725 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 216725328 is about 14721.5939354406. The cubic root of 216725328 is about 600.6708496550.

It can be divided in two parts, 21672 and 5328, that added together give a cube (27000 = 30³).

The spelling of 216725328 in words is "two hundred sixteen million, seven hundred twenty-five thousand, three hundred twenty-eight".