216428544 has 208 divisors, whose sum is σ = 681491200. Its totient is φ = 67682304.

The previous prime is 216428539. The next prime is 216428567. The reversal of 216428544 is 445824612.

216428544 is a `hidden beast` number, since 2 + 1 + 642 + 8 + 5 + 4 + 4 = 666.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 216428499 and 216428508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2101197 + ... + 2101299.

It is an arithmetic number, because the mean of its divisors is an integer number (3276400).

Almost surely, 2^216428544 is an apocalyptic number.

216428544 is a gapful number since it is divisible by the number (24) 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 216428544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340745600).

216428544 is an abundant number, since it is smaller than the sum of its proper divisors (465062656).

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

216428544 is a wasteful number, since it uses less digits than its factorization.

216428544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 127 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 216428544 is about 14711.5105954487. The cubic root of 216428544 is about 600.3965378718.

The spelling of 216428544 in words is "two hundred sixteen million, four hundred twenty-eight thousand, five hundred forty-four".