20735528 has 48 divisors (see below), whose sum is σ = 44177280. Its totient is φ = 9108000.

The previous prime is 20735521. The next prime is 20735537. The reversal of 20735528 is 82553702.

It is a junction number, because it is equal to n+sod(n) for n = 20735494 and 20735503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20735521) 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 11 ways as a sum of consecutive naturals, for example, 29663 + ... + 30353.

It is an arithmetic number, because the mean of its divisors is an integer number (920360).

Almost surely, 2^20735528 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 20735528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22088640).

20735528 is an abundant number, since it is smaller than the sum of its proper divisors (23441752).

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

20735528 is a wasteful number, since it uses less digits than its factorization.

20735528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 20735528 is about 4553.6280041303. The cubic root of 20735528 is about 274.7293336865.

The spelling of 20735528 in words is "twenty million, seven hundred thirty-five thousand, five hundred twenty-eight".