20528928 has 144 divisors (see below), whose sum is σ = 70761600. Its totient is φ = 5511168.

The previous prime is 20528923. The next prime is 20528929. The reversal of 20528928 is 82982502.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 20528892 and 20528901.

It is not an unprimeable number, because it can be changed into a prime (20528923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33973 + ... + 34571.

It is an arithmetic number, because the mean of its divisors is an integer number (491400).

Almost surely, 2^20528928 is an apocalyptic number.

20528928 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 20528928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35380800).

20528928 is an abundant number, since it is smaller than the sum of its proper divisors (50232672).

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

20528928 is a wasteful number, since it uses less digits than its factorization.

20528928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 20528928 is about 4530.8860060699. The cubic root of 20528928 is about 273.8138576242.

The spelling of 20528928 in words is "twenty million, five hundred twenty-eight thousand, nine hundred twenty-eight".