20288268 has 144 divisors (see below), whose sum is σ = 68979456. Its totient is φ = 4855680.

The previous prime is 20288251. The next prime is 20288273. The reversal of 20288268 is 86288202.

It is a super-2 number, since 2×20288268² = 823227636879648, which contains 22 as substring.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 35755 + ... + 36317.

It is an arithmetic number, because the mean of its divisors is an integer number (479024).

Almost surely, 2^20288268 is an apocalyptic number.

20288268 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 20288268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34489728).

20288268 is an abundant number, since it is smaller than the sum of its proper divisors (48691188).

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

20288268 is a wasteful number, since it uses less digits than its factorization.

20288268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 20288268 is about 4504.2499930621. The cubic root of 20288268 is about 272.7396785872.

It can be divided in two parts, 2028 and 8268, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 20288268 in words is "twenty million, two hundred eighty-eight thousand, two hundred sixty-eight".