201028880 has 60 divisors (see below), whose sum is σ = 506145060. Its totient is φ = 74221056.

The previous prime is 201028879. The next prime is 201028909. The reversal of 201028880 is 88820102.

It can be written as a sum of positive squares in 6 ways, for example, as 64513024 + 136515856 = 8032^2 + 11684^2 .

It is a super-2 number, since 2×201028880² = 80825221188108800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6086 + ... + 20954.

It is an arithmetic number, because the mean of its divisors is an integer number (8435751).

Almost surely, 2^201028880 is an apocalyptic number.

201028880 is a gapful number since it is divisible by the number (20) 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 201028880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253072530).

201028880 is an abundant number, since it is smaller than the sum of its proper divisors (305116180).

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

201028880 is a wasteful number, since it uses less digits than its factorization.

201028880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14908 (or 14889 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 29.

The square root of 201028880 is about 14178.4653612441. The cubic root of 201028880 is about 585.8046540263.

Adding to 201028880 its reverse (88820102), we get a palindrome (289848982).

It can be divided in two parts, 20102 and 8880, that added together give a palindrome (28982).

The spelling of 201028880 in words is "two hundred one million, twenty-eight thousand, eight hundred eighty".