220528 has 40 divisors (see below), whose sum is σ = 535680. Its totient is φ = 85440.

The previous prime is 220513. The next prime is 220529. The reversal of 220528 is 825022.

220528 = 67² + 68² + ... + 98².

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220529) by changing a digit.

220528 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1143 + ... + 1321.

It is an arithmetic number, because the mean of its divisors is an integer number (13392).

2²²⁰⁵²⁸ is an apocalyptic number.

220528 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 220528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267840).

220528 is an abundant number, since it is smaller than the sum of its proper divisors (315152).

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

220528 is a wasteful number, since it uses less digits than its factorization.

220528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 220528 is about 469.6040885682. The cubic root of 220528 is about 60.4163632697.

The spelling of 220528 in words is "two hundred twenty thousand, five hundred twenty-eight".