28735918080 has 208 divisors, whose sum is σ = 92779784640. Its totient is φ = 7593263104.

The previous prime is 28735918039. The next prime is 28735918093. The reversal of 28735918080 is 8081953782.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6940651 + ... + 6944789.

Almost surely, 2^28735918080 is an apocalyptic number.

28735918080 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 28735918080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46389892320).

28735918080 is an abundant number, since it is smaller than the sum of its proper divisors (64043866560).

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

28735918080 is a wasteful number, since it uses less digits than its factorization.

28735918080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4284 (or 4262 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 28735918080 in words is "twenty-eight billion, seven hundred thirty-five million, nine hundred eighteen thousand, eighty".