828225216 has 448 divisors, whose sum is σ = 3140659200. Its totient is φ = 208023552.

The previous prime is 828225199. The next prime is 828225259. The reversal of 828225216 is 612522828.

828225216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3616590 + ... + 3616818.

It is an arithmetic number, because the mean of its divisors is an integer number (7010400).

Almost surely, 2^828225216 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 828225216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570329600).

828225216 is an abundant number, since it is smaller than the sum of its proper divisors (2312433984).

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

828225216 is a wasteful number, since it uses less digits than its factorization.

828225216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 277 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 828225216 is about 28778.9022723244. The cubic root of 828225216 is about 939.1093177753.

The spelling of 828225216 in words is "eight hundred twenty-eight million, two hundred twenty-five thousand, two hundred sixteen".