20628330 has 64 divisors (see below), whose sum is σ = 52448256. Its totient is φ = 5184000.

The previous prime is 20628317. The next prime is 20628337. The reversal of 20628330 is 3382602.

It is a super-3 number, since 3×20628330³ (a number of 23 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 20628330.

It is not an unprimeable number, because it can be changed into a prime (20628337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37860 + ... + 38400.

It is an arithmetic number, because the mean of its divisors is an integer number (819504).

Almost surely, 2^20628330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20628330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26224128).

20628330 is an abundant number, since it is smaller than the sum of its proper divisors (31819926).

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

20628330 is a wasteful number, since it uses less digits than its factorization.

20628330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 20628330 is about 4541.8421372831. The cubic root of 20628330 is about 274.2550859432.

The spelling of 20628330 in words is "twenty million, six hundred twenty-eight thousand, three hundred thirty".