828252252828 has 384 divisors, whose sum is σ = 2919641088000. Its totient is φ = 196066241280.

The previous prime is 828252252719. The next prime is 828252252847.

828252252828 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8492043 + ... + 8589021.

It is an arithmetic number, because the mean of its divisors is an integer number (7603232000).

Almost surely, 2^828252252828 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 828252252828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459820544000).

828252252828 is an abundant number, since it is smaller than the sum of its proper divisors (2091388835172).

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

828252252828 is a wasteful number, since it uses less digits than its factorization.

828252252828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97102 (or 97094 counting only the distinct ones).

The product of its digits is 6553600, while the sum is 54.

The spelling of 828252252828 in words is "eight hundred twenty-eight billion, two hundred fifty-two million, two hundred fifty-two thousand, eight hundred twenty-eight".