28116760320 has 648 divisors, whose sum is σ = 111705074208. Its totient is φ = 6512394240.

The previous prime is 28116760319. The next prime is 28116760337. The reversal of 28116760320 is 2306761182.

28116760320 is a `hidden beast` number, since 28 + 1 + 1 + 6 + 7 + 603 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 32059722 + ... + 32060598.

Almost surely, 2^28116760320 is an apocalyptic number.

28116760320 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 28116760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55852537104).

28116760320 is an abundant number, since it is smaller than the sum of its proper divisors (83588313888).

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

28116760320 is a wasteful number, since it uses less digits than its factorization.

28116760320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 28116760320 in words is "twenty-eight billion, one hundred sixteen million, seven hundred sixty thousand, three hundred twenty".