201828144 has 80 divisors (see below), whose sum is σ = 606032640. Its totient is φ = 56682240.

The previous prime is 201828083. The next prime is 201828167. The reversal of 201828144 is 441828102.

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, 14734 + ... + 24914.

It is an arithmetic number, because the mean of its divisors is an integer number (7575408).

Almost surely, 2^201828144 is an apocalyptic number.

201828144 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 201828144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303016320).

201828144 is an abundant number, since it is smaller than the sum of its proper divisors (404204496).

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

201828144 is a wasteful number, since it uses less digits than its factorization.

201828144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10258 (or 10252 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 201828144 is about 14206.6232441070. The cubic root of 201828144 is about 586.5799877679.

The spelling of 201828144 in words is "two hundred one million, eight hundred twenty-eight thousand, one hundred forty-four".