28768026960 has 640 divisors, whose sum is σ = 109021593600. Its totient is φ = 6944071680.

The previous prime is 28768026923. The next prime is 28768026967. The reversal of 28768026960 is 6962086782.

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

It is a junction number, because it is equal to n+sod(n) for n = 28768026897 and 28768026906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28768026967) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 136341255 + ... + 136341465.

It is an arithmetic number, because the mean of its divisors is an integer number (170346240).

Almost surely, 2^28768026960 is an apocalyptic number.

28768026960 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 28768026960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54510796800).

28768026960 is an abundant number, since it is smaller than the sum of its proper divisors (80253566640).

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

28768026960 is a wasteful number, since it uses less digits than its factorization.

28768026960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 28768026960 in words is "twenty-eight billion, seven hundred sixty-eight million, twenty-six thousand, nine hundred sixty".