21928753 has 32 divisors (see below), whose sum is σ = 28892160. Its totient is φ = 16148160.

The previous prime is 21928733. The next prime is 21928757. The reversal of 21928753 is 35782912.

21928753 is a nontrivial binomial coefficient, being equal to C(6623, 2).

It is not a de Polignac number, because 21928753 - 2⁵ = 21928721 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (21928757) 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, 122418 + ... + 122596.

It is an arithmetic number, because the mean of its divisors is an integer number (902880).

Almost surely, 2^21928753 is an apocalyptic number.

21928753 is the 6622-nd triangular number.

21928753 is the 2208-th centered nonagonal number.

It is an amenable number.

21928753 is a deficient number, since it is larger than the sum of its proper divisors (6963407).

21928753 is a wasteful number, since it uses less digits than its factorization.

21928753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277.

The product of its digits is 30240, while the sum is 37.

The square root of 21928753 is about 4682.8146450612. The cubic root of 21928753 is about 279.9011258037.

The spelling of 21928753 in words is "twenty-one million, nine hundred twenty-eight thousand, seven hundred fifty-three".