26728930800 has 840 divisors, whose sum is σ = 113289030288. Its totient is φ = 5971968000.

The previous prime is 26728930783. The next prime is 26728930807. The reversal of 26728930800 is 803982762.

26728930800 is a `hidden beast` number, since 2 + 67 + 289 + 308 + 0 + 0 = 666.

It is a super-2 number, since 2×26728930800² (a number of 22 digits) contains 22 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 not an unprimeable number, because it can be changed into a prime (26728930807) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 41698480 + ... + 41699120.

Almost surely, 2^26728930800 is an apocalyptic number.

26728930800 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 26728930800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56644515144).

26728930800 is an abundant number, since it is smaller than the sum of its proper divisors (86560099488).

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

26728930800 is a wasteful number, since it uses less digits than its factorization.

26728930800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 26728930800 in words is "twenty-six billion, seven hundred twenty-eight million, nine hundred thirty thousand, eight hundred".