28919768064 has 352 divisors, whose sum is σ = 91433103360. Its totient is φ = 8028979200.

The previous prime is 28919768051. The next prime is 28919768131. The reversal of 28919768064 is 46086791982.

It is a tau number, because it is divible by the number of its divisors (352).

It is a junction number, because it is equal to n+sod(n) for n = 28919767989 and 28919768007.

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 31 ways as a sum of consecutive naturals, for example, 19902762 + ... + 19904214.

Almost surely, 2^28919768064 is an apocalyptic number.

28919768064 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 28919768064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45716551680).

28919768064 is an abundant number, since it is smaller than the sum of its proper divisors (62513335296).

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

28919768064 is a wasteful number, since it uses less digits than its factorization.

28919768064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 60.

The spelling of 28919768064 in words is "twenty-eight billion, nine hundred nineteen million, seven hundred sixty-eight thousand, sixty-four".