201821328 has 80 divisors (see below), whose sum is σ = 583643200. Its totient is φ = 66769920.

The previous prime is 201821327. The next prime is 201821339. The reversal of 201821328 is 823128102.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201821327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58368 + ... + 61728.

It is an arithmetic number, because the mean of its divisors is an integer number (7295540).

Almost surely, 2^201821328 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 201821328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291821600).

201821328 is an abundant number, since it is smaller than the sum of its proper divisors (381821872).

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

201821328 is a wasteful number, since it uses less digits than its factorization.

201821328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3517 (or 3505 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 201821328 is about 14206.3833539716. The cubic root of 201821328 is about 586.5733845028.

The spelling of 201821328 in words is "two hundred one million, eight hundred twenty-one thousand, three hundred twenty-eight".