28376522567382 has 256 divisors, whose sum is σ = 70716095594496. Its totient is φ = 7487133696000.

The previous prime is 28376522567369. The next prime is 28376522567387.

28376522567382 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28376522567387) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70092582 + ... + 70496262.

It is an arithmetic number, because the mean of its divisors is an integer number (276234748416).

Almost surely, 2^{28376522567382} is an apocalyptic number.

28376522567382 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 28376522567382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35358047797248).

28376522567382 is an abundant number, since it is smaller than the sum of its proper divisors (42339573027114).

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

28376522567382 is a wasteful number, since it uses less digits than its factorization.

28376522567382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403835.

The product of its digits is 406425600, while the sum is 66.

The spelling of 28376522567382 in words is "twenty-eight trillion, three hundred seventy-six billion, five hundred twenty-two million, five hundred sixty-seven thousand, three hundred eighty-two".