201528288 has 144 divisors (see below), whose sum is σ = 649892880. Its totient is φ = 58724352.

The previous prime is 201528211. The next prime is 201528293. The reversal of 201528288 is 882825102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×201528288² = 81227301728421888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69720 + ... + 72552.

It is an arithmetic number, because the mean of its divisors is an integer number (4513145).

Almost surely, 2^201528288 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 201528288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324946440).

201528288 is an abundant number, since it is smaller than the sum of its proper divisors (448364592).

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

201528288 is a wasteful number, since it uses less digits than its factorization.

201528288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2881 (or 2870 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 201528288 is about 14196.0659339128. The cubic root of 201528288 is about 586.2893498955.

It can be divided in two parts, 2015 and 28288, that added together give a palindrome (30303).

The spelling of 201528288 in words is "two hundred one million, five hundred twenty-eight thousand, two hundred eighty-eight".