888626728900 has 81 divisors (see below), whose sum is σ = 1948722051367. Its totient is φ = 351729030400.

The previous prime is 888626728877. The next prime is 888626728901. The reversal of 888626728900 is 9827626888.

The square root of 888626728900 is 942670.

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

It can be written as a sum of positive squares in 4 ways, for example, as 200616201604 + 688010527296 = 447902^2 + 829464^2 .

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (888626728901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1008656460 + ... + 1008657340.

Almost surely, 2^888626728900 is an apocalyptic number.

888626728900 is the 942670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 888626728900

888626728900 is an abundant number, since it is smaller than the sum of its proper divisors (1060095322467).

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

888626728900 is an equidigital number, since it uses as much as digits as its factorization.

888626728900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 64.

Multiplying 888626728900 by its sum of digits (64), we get a square (56872110649600 = 7541360²).

The spelling of 888626728900 in words is "eight hundred eighty-eight billion, six hundred twenty-six million, seven hundred twenty-eight thousand, nine hundred".