28389737376 has 1152 divisors, whose sum is σ = 117294428160. Its totient is φ = 6270566400.

The previous prime is 28389737359. The next prime is 28389737381. The reversal of 28389737376 is 67373798382.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 388900476 + ... + 388900548.

It is an arithmetic number, because the mean of its divisors is an integer number (101818080).

Almost surely, 2^28389737376 is an apocalyptic number.

28389737376 is a gapful number since it is divisible by the number (26) 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 28389737376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58647214080).

28389737376 is an abundant number, since it is smaller than the sum of its proper divisors (88904690784).

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

28389737376 is a wasteful number, since it uses less digits than its factorization.

28389737376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 199 counting only the distinct ones).

The product of its digits is 64012032, while the sum is 63.

The spelling of 28389737376 in words is "twenty-eight billion, three hundred eighty-nine million, seven hundred thirty-seven thousand, three hundred seventy-six".