28325433452382 has 192 divisors, whose sum is σ = 70156459322880. Its totient is φ = 8463378337920.

The previous prime is 28325433452357. The next prime is 28325433452417.

It is a happy number.

28325433452382 is a `hidden beast` number, since 2 + 8 + 3 + 2 + 5 + 4 + 3 + 34 + 523 + 82 = 666.

28325433452382 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×28325433452382² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2178370293 + ... + 2178383295.

It is an arithmetic number, because the mean of its divisors is an integer number (365398225640).

Almost surely, 2^{28325433452382} is an apocalyptic number.

28325433452382 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 28325433452382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35078229661440).

28325433452382 is an abundant number, since it is smaller than the sum of its proper divisors (41831025870498).

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

28325433452382 is a wasteful number, since it uses less digits than its factorization.

28325433452382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17676 (or 17659 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 54.

The spelling of 28325433452382 in words is "twenty-eight trillion, three hundred twenty-five billion, four hundred thirty-three million, four hundred fifty-two thousand, three hundred eighty-two".