220635828 has 216 divisors, whose sum is σ = 709581600. Its totient is φ = 57407616.

The previous prime is 220635827. The next prime is 220635839. The reversal of 220635828 is 828536022.

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 = 220635792 and 220635801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220635827) 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 71 ways as a sum of consecutive naturals, for example, 971851 + ... + 972077.

It is an arithmetic number, because the mean of its divisors is an integer number (3285100).

Almost surely, 2^220635828 is an apocalyptic number.

220635828 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 220635828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354790800).

220635828 is an abundant number, since it is smaller than the sum of its proper divisors (488945772).

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

220635828 is a wasteful number, since it uses less digits than its factorization.

220635828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 220635828 is about 14853.8152674658. The cubic root of 220635828 is about 604.2620860172.

The spelling of 220635828 in words is "two hundred twenty million, six hundred thirty-five thousand, eight hundred twenty-eight".