220526928 has 80 divisors (see below), whose sum is σ = 634780800. Its totient is φ = 73301760.

The previous prime is 220526927. The next prime is 220526951. The reversal of 220526928 is 829625022.

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 = 220526892 and 220526901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220526927) 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 15 ways as a sum of consecutive naturals, for example, 272188 + ... + 272996.

It is an arithmetic number, because the mean of its divisors is an integer number (7934760).

Almost surely, 2^220526928 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 220526928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317390400).

220526928 is an abundant number, since it is smaller than the sum of its proper divisors (414253872).

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

220526928 is a wasteful number, since it uses less digits than its factorization.

220526928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 220526928 is about 14850.1490901607. The cubic root of 220526928 is about 604.1626537369.

The spelling of 220526928 in words is "two hundred twenty million, five hundred twenty-six thousand, nine hundred twenty-eight".