20775328 has 48 divisors (see below), whose sum is σ = 47113920. Its totient is φ = 8833536.

The previous prime is 20775317. The next prime is 20775329. The reversal of 20775328 is 82357702.

It is a super-2 number, since 2×20775328² = 863228507015168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20775293 and 20775302.

It is not an unprimeable number, because it can be changed into a prime (20775329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36228 + ... + 36796.

It is an arithmetic number, because the mean of its divisors is an integer number (981540).

Almost surely, 2^20775328 is an apocalyptic number.

20775328 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 20775328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23556960).

20775328 is an abundant number, since it is smaller than the sum of its proper divisors (26338592).

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

20775328 is a wasteful number, since it uses less digits than its factorization.

20775328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 20775328 is about 4557.9960508978. The cubic root of 20775328 is about 274.9049941788.

The spelling of 20775328 in words is "twenty million, seven hundred seventy-five thousand, three hundred twenty-eight".