20528384 has 72 divisors (see below), whose sum is σ = 44702280. Its totient is φ = 9371648.

The previous prime is 20528369. The next prime is 20528399. The reversal of 20528384 is 48382502.

It is an interprime number because it is at equal distance from previous prime (20528369) and next prime (20528399).

It can be written as a sum of positive squares in 4 ways, for example, as 4528384 + 16000000 = 2128^2 + 4000^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 20528384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230612 + ... + 230700.

It is an arithmetic number, because the mean of its divisors is an integer number (620865).

Almost surely, 2^20528384 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 20528384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22351140).

20528384 is an abundant number, since it is smaller than the sum of its proper divisors (24173896).

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

20528384 is an equidigital number, since it uses as much as digits as its factorization.

20528384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 20528384 is about 4530.8259732636. The cubic root of 20528384 is about 273.8114389875.

The spelling of 20528384 in words is "twenty million, five hundred twenty-eight thousand, three hundred eighty-four".