826228000 has 96 divisors (see below), whose sum is σ = 2186336880. Its totient is φ = 305049600.

The previous prime is 826227979. The next prime is 826228003. The reversal of 826228000 is 822628.

It is a happy number.

826228000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 22165264 + 804062736 = 4708^2 + 28356^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 826228000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826228003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44056 + ... + 59944.

Almost surely, 2^826228000 is an apocalyptic number.

826228000 is a gapful number since it is divisible by the number (80) 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 826228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093168440).

826228000 is an abundant number, since it is smaller than the sum of its proper divisors (1360108880).

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

826228000 is a wasteful number, since it uses less digits than its factorization.

826228000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15927 (or 15909 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 826228000 is about 28744.1820200193. The cubic root of 826228000 is about 938.3538413751.

It can be divided in two parts, 826 and 228000, that added together give a triangular number (228826 = T₆₇₆).

The spelling of 826228000 in words is "eight hundred twenty-six million, two hundred twenty-eight thousand".