201401728 has 64 divisors (see below), whose sum is σ = 440064720. Its totient is φ = 91054080.

The previous prime is 201401719. The next prime is 201401743. The reversal of 201401728 is 827104102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 440476 + ... + 440932.

Almost surely, 2^201401728 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 201401728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220032360).

201401728 is an abundant number, since it is smaller than the sum of its proper divisors (238662992).

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

201401728 is a wasteful number, since it uses less digits than its factorization.

201401728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 201401728 is about 14191.6076608677. The cubic root of 201401728 is about 586.1665940630.

The spelling of 201401728 in words is "two hundred one million, four hundred one thousand, seven hundred twenty-eight".