26928000 has 384 divisors, whose sum is σ = 111702240. Its totient is φ = 6144000.

The previous prime is 26927993. The next prime is 26928029. The reversal of 26928000 is 82962.

26928000 = 90³ + 91³ + ... + 114³.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1583992 + ... + 1584008.

Almost surely, 2^26928000 is an apocalyptic number.

26928000 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 26928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55851120).

26928000 is an abundant number, since it is smaller than the sum of its proper divisors (84774240).

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

26928000 is a wasteful number, since it uses less digits than its factorization.

26928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 26928000 is about 5189.2195945055. The cubic root of 26928000 is about 299.7330959445.

The spelling of 26928000 in words is "twenty-six million, nine hundred twenty-eight thousand".