28686341376 has 288 divisors, whose sum is σ = 105764736000. Its totient is φ = 7450859520.

The previous prime is 28686341347. The next prime is 28686341377. The reversal of 28686341376 is 67314368682.

28686341376 is a `hidden beast` number, since 2 + 86 + 86 + 3 + 413 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28686341377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 505275 + ... + 559173.

Almost surely, 2^28686341376 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 28686341376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52882368000).

28686341376 is an abundant number, since it is smaller than the sum of its proper divisors (77078394624).

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

28686341376 is a wasteful number, since it uses less digits than its factorization.

28686341376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53942 (or 53922 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 28686341376 in words is "twenty-eight billion, six hundred eighty-six million, three hundred forty-one thousand, three hundred seventy-six".