201728016 has 160 divisors (see below), whose sum is σ = 696780800. Its totient is φ = 54587520.

The previous prime is 201728011. The next prime is 201728047. The reversal of 201728016 is 610827102.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (201728011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55701 + ... + 59211.

It is an arithmetic number, because the mean of its divisors is an integer number (4354880).

Almost surely, 2^201728016 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 201728016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348390400).

201728016 is an abundant number, since it is smaller than the sum of its proper divisors (495052784).

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

201728016 is a wasteful number, since it uses less digits than its factorization.

201728016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3554 (or 3542 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 201728016 is about 14203.0988168075. The cubic root of 201728016 is about 586.4829699204.

The spelling of 201728016 in words is "two hundred one million, seven hundred twenty-eight thousand, sixteen".