28729989288 has 864 divisors, whose sum is σ = 111262394880. Its totient is φ = 6626188800.

The previous prime is 28729989283. The next prime is 28729989317. The reversal of 28729989288 is 88298992782.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is not an unprimeable number, because it can be changed into a prime (28729989283) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 172035781 + ... + 172035947.

It is an arithmetic number, because the mean of its divisors is an integer number (128775920).

Almost surely, 2^28729989288 is an apocalyptic number.

28729989288 is a gapful number since it is divisible by the number (28) 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 28729989288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55631197440).

28729989288 is an abundant number, since it is smaller than the sum of its proper divisors (82532405592).

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

28729989288 is a wasteful number, since it uses less digits than its factorization.

28729989288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 234 counting only the distinct ones).

The product of its digits is 167215104, while the sum is 72.

The spelling of 28729989288 in words is "twenty-eight billion, seven hundred twenty-nine million, nine hundred eighty-nine thousand, two hundred eighty-eight".