10200288 has 96 divisors (see below), whose sum is σ = 31401216. Its totient is φ = 2838528.

The previous prime is 10200287. The next prime is 10200301. The reversal of 10200288 is 88200201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28720 + ... + 29072.

It is an arithmetic number, because the mean of its divisors is an integer number (327096).

Almost surely, 2^10200288 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 10200288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15700608).

10200288 is an abundant number, since it is smaller than the sum of its proper divisors (21200928).

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

10200288 is a wasteful number, since it uses less digits than its factorization.

10200288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 10200288 is about 3193.7889723650. The cubic root of 10200288 is about 216.8723296379.

Adding to 10200288 its reverse (88200201), we get a palindrome (98400489).

The spelling of 10200288 in words is "ten million, two hundred thousand, two hundred eighty-eight".