828225277824 has 256 divisors, whose sum is σ = 2761657344000. Its totient is φ = 214433961984.

The previous prime is 828225277793. The next prime is 828225277829. The reversal of 828225277824 is 428772522828.

It is a super-2 number, since 2×828225277824² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828225277829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 822117 + ... + 1527195.

It is an arithmetic number, because the mean of its divisors is an integer number (10787724000).

Almost surely, 2^828225277824 is an apocalyptic number.

828225277824 is a gapful number since it is divisible by the number (84) 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 828225277824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380828672000).

828225277824 is an abundant number, since it is smaller than the sum of its proper divisors (1933432066176).

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

828225277824 is a wasteful number, since it uses less digits than its factorization.

828225277824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705145 (or 705133 counting only the distinct ones).

The product of its digits is 16056320, while the sum is 57.

The spelling of 828225277824 in words is "eight hundred twenty-eight billion, two hundred twenty-five million, two hundred seventy-seven thousand, eight hundred twenty-four".