201313728 has 448 divisors, whose sum is σ = 790041600. Its totient is φ = 48660480.

The previous prime is 201313589. The next prime is 201313741. The reversal of 201313728 is 827313102.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2261908 + ... + 2261996.

Almost surely, 2^201313728 is an apocalyptic number.

201313728 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 201313728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395020800).

201313728 is an abundant number, since it is smaller than the sum of its proper divisors (588727872).

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

201313728 is a wasteful number, since it uses less digits than its factorization.

201313728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 201313728 is about 14188.5068981905. The cubic root of 201313728 is about 586.0812088722.

The spelling of 201313728 in words is "two hundred one million, three hundred thirteen thousand, seven hundred twenty-eight".