28759878960 has 320 divisors, whose sum is σ = 98307993600. Its totient is φ = 6922865664.

The previous prime is 28759878949. The next prime is 28759878967. The reversal of 28759878960 is 6987895782.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is not an unprimeable number, because it can be changed into a prime (28759878967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46461531 + ... + 46462149.

It is an arithmetic number, because the mean of its divisors is an integer number (307212480).

Almost surely, 2^28759878960 is an apocalyptic number.

28759878960 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 28759878960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49153996800).

28759878960 is an abundant number, since it is smaller than the sum of its proper divisors (69548114640).

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

28759878960 is a wasteful number, since it uses less digits than its factorization.

28759878960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 69.

The spelling of 28759878960 in words is "twenty-eight billion, seven hundred fifty-nine million, eight hundred seventy-eight thousand, nine hundred sixty".