28116256320 has 336 divisors, whose sum is σ = 100551447360. Its totient is φ = 7202377728.

The previous prime is 28116256313. The next prime is 28116256351. The reversal of 28116256320 is 2365261182.

28116256320 is a `hidden beast` number, since 2 + 8 + 1 + 1 + 625 + 6 + 3 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18958299 + ... + 18959781.

It is an arithmetic number, because the mean of its divisors is an integer number (299260260).

Almost surely, 2^28116256320 is an apocalyptic number.

28116256320 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 28116256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50275723680).

28116256320 is an abundant number, since it is smaller than the sum of its proper divisors (72435191040).

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

28116256320 is a wasteful number, since it uses less digits than its factorization.

28116256320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 28116256320 in words is "twenty-eight billion, one hundred sixteen million, two hundred fifty-six thousand, three hundred twenty".