828081041452 has 96 divisors (see below), whose sum is σ = 1787982497280. Its totient is φ = 327621127680.

The previous prime is 828081041413. The next prime is 828081041453. The reversal of 828081041452 is 254140180828.

It is a super-4 number, since 4×828081041452⁴ (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 828081041399 and 828081041408.

It is not an unprimeable number, because it can be changed into a prime (828081041453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18583383 + ... + 18627889.

It is an arithmetic number, because the mean of its divisors is an integer number (18624817680).

Almost surely, 2^828081041452 is an apocalyptic number.

828081041452 is a gapful number since it is divisible by the number (82) 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 828081041452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893991248640).

828081041452 is an abundant number, since it is smaller than the sum of its proper divisors (959901455828).

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

828081041452 is a wasteful number, since it uses less digits than its factorization.

828081041452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45431 (or 45429 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 43.

The spelling of 828081041452 in words is "eight hundred twenty-eight billion, eighty-one million, forty-one thousand, four hundred fifty-two".