28978709760 has 1296 divisors, whose sum is σ = 137404874880. Its totient is φ = 5542871040.

The previous prime is 28978709729. The next prime is 28978709797. The reversal of 28978709760 is 6790787982.

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

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 80720461 + ... + 80720819.

It is an arithmetic number, because the mean of its divisors is an integer number (106022280).

Almost surely, 2^28978709760 is an apocalyptic number.

28978709760 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 28978709760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68702437440).

28978709760 is an abundant number, since it is smaller than the sum of its proper divisors (108426165120).

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

28978709760 is a wasteful number, since it uses less digits than its factorization.

28978709760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 63.

The spelling of 28978709760 in words is "twenty-eight billion, nine hundred seventy-eight million, seven hundred nine thousand, seven hundred sixty".