26728088400 has 1200 divisors, whose sum is σ = 112522798080. Its totient is φ = 6021734400.

The previous prime is 26728088383. The next prime is 26728088411. The reversal of 26728088400 is 488082762.

It is a happy number.

26728088400 is a `hidden beast` number, since 26 + 72 + 80 + 88 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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 239 ways as a sum of consecutive naturals, for example, 300315556 + ... + 300315644.

Almost surely, 2^26728088400 is an apocalyptic number.

26728088400 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 26728088400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56261399040).

26728088400 is an abundant number, since it is smaller than the sum of its proper divisors (85794709680).

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

26728088400 is a wasteful number, since it uses less digits than its factorization.

26728088400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 26728088400 in words is "twenty-six billion, seven hundred twenty-eight million, eighty-eight thousand, four hundred".