201128004 has 216 divisors, whose sum is σ = 663743808. Its totient is φ = 49870080.

The previous prime is 201127981. The next prime is 201128023. The reversal of 201128004 is 400821102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3794842 + ... + 3794894.

It is an arithmetic number, because the mean of its divisors is an integer number (3072888).

Almost surely, 2^201128004 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 201128004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331871904).

201128004 is an abundant number, since it is smaller than the sum of its proper divisors (462615804).

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

201128004 is a wasteful number, since it uses less digits than its factorization.

201128004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 201128004 is about 14181.9605132718. The cubic root of 201128004 is about 585.9009217187.

Adding to 201128004 its reverse (400821102), we get a palindrome (601949106).

The spelling of 201128004 in words is "two hundred one million, one hundred twenty-eight thousand, four".