28680376320 has 728 divisors, whose sum is σ = 110226418056. Its totient is φ = 7134511104.

The previous prime is 28680376313. The next prime is 28680376369. The reversal of 28680376320 is 2367308682.

28680376320 is a `hidden beast` number, since 2 + 8 + 6 + 8 + 0 + 3 + 7 + 632 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 585252864 + 28095123456 = 24192^2 + 167616^2 .

It is a super-3 number, since 3×28680376320³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 253808584 + ... + 253808696.

Almost surely, 2^28680376320 is an apocalyptic number.

28680376320 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 28680376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55113209028).

28680376320 is an abundant number, since it is smaller than the sum of its proper divisors (81546041736).

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

28680376320 is an equidigital number, since it uses as much as digits as its factorization.

28680376320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 28680376320 in words is "twenty-eight billion, six hundred eighty million, three hundred seventy-six thousand, three hundred twenty".