201829728 has 48 divisors (see below), whose sum is σ = 537727680. Its totient is φ = 66270336.

The previous prime is 201829717. The next prime is 201829739. The reversal of 201829728 is 827928102.

It is an interprime number because it is at equal distance from previous prime (201829717) and next prime (201829739).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9258 + ... + 22121.

It is an arithmetic number, because the mean of its divisors is an integer number (11202660).

Almost surely, 2^201829728 is an apocalyptic number.

It is an amenable number.

201829728 is an abundant number, since it is smaller than the sum of its proper divisors (335897952).

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

201829728 is a wasteful number, since it uses less digits than its factorization.

201829728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31459 (or 31451 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 201829728 is about 14206.6789926429. The cubic root of 201829728 is about 586.5815223082.

The spelling of 201829728 in words is "two hundred one million, eight hundred twenty-nine thousand, seven hundred twenty-eight".