201011328 has 192 divisors, whose sum is σ = 690703200. Its totient is φ = 57383424.

The previous prime is 201011303. The next prime is 201011333. The reversal of 201011328 is 823110102.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 201011328.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168751 + ... + 169937.

Almost surely, 2^201011328 is an apocalyptic number.

201011328 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 201011328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345351600).

201011328 is an abundant number, since it is smaller than the sum of its proper divisors (489691872).

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

201011328 is a wasteful number, since it uses less digits than its factorization.

201011328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 201011328 is about 14177.8463808859. The cubic root of 201011328 is about 585.7876044984.

The spelling of 201011328 in words is "two hundred one million, eleven thousand, three hundred twenty-eight".