220828565776 has 135 divisors (see below), whose sum is σ = 539357417253. Its totient is φ = 87293082240.

The previous prime is 220828565641. The next prime is 220828565791. The reversal of 220828565776 is 677565828022.

The square root of 220828565776 is 469924.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 32666947600 + 188161618176 = 180740^2 + 433776^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 220828565776.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 171051691 + ... + 171052981.

Almost surely, 2^220828565776 is an apocalyptic number.

220828565776 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

220828565776 is the 469924-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220828565776

220828565776 is an abundant number, since it is smaller than the sum of its proper divisors (318528851477).

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

220828565776 is an equidigital number, since it uses as much as digits as its factorization.

220828565776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2630 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 58.

It can be divided in two parts, 22082 and 8565776, that added together give a palindrome (8587858).

The spelling of 220828565776 in words is "two hundred twenty billion, eight hundred twenty-eight million, five hundred sixty-five thousand, seven hundred seventy-six".