28907768064 has 144 divisors (see below), whose sum is σ = 88018237440. Its totient is φ = 8250869760.

The previous prime is 28907768059. The next prime is 28907768137. The reversal of 28907768064 is 46086770982.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 28907767995 and 28907768013.

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 15 ways as a sum of consecutive naturals, for example, 6766249 + ... + 6770519.

It is an arithmetic number, because the mean of its divisors is an integer number (611237760).

Almost surely, 2^28907768064 is an apocalyptic number.

28907768064 is a gapful number since it is divisible by the number (24) 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 28907768064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44009118720).

28907768064 is an abundant number, since it is smaller than the sum of its proper divisors (59110469376).

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

28907768064 is a wasteful number, since it uses less digits than its factorization.

28907768064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5556 (or 5542 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The spelling of 28907768064 in words is "twenty-eight billion, nine hundred seven million, seven hundred sixty-eight thousand, sixty-four".