28376599680 has 768 divisors, whose sum is σ = 117728432640. Its totient is φ = 6206423040.

The previous prime is 28376599679. The next prime is 28376599681. The reversal of 28376599680 is 8699567382.

28376599680 is a `hidden beast` number, since 2 + 8 + 37 + 6 + 599 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28376599679) and next prime (28376599681).

It is a super-2 number, since 2×28376599680² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28376599681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38712594 + ... + 38713326.

It is an arithmetic number, because the mean of its divisors is an integer number (153292230).

Almost surely, 2^28376599680 is an apocalyptic number.

28376599680 is a gapful number since it is divisible by the number (20) 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 28376599680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58864216320).

28376599680 is an abundant number, since it is smaller than the sum of its proper divisors (89351832960).

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

28376599680 is a wasteful number, since it uses less digits than its factorization.

28376599680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 28376599680 in words is "twenty-eight billion, three hundred seventy-six million, five hundred ninety-nine thousand, six hundred eighty".