26628800 has 168 divisors, whose sum is σ = 76535280. Its totient is φ = 9011200.

The previous prime is 26628799. The next prime is 26628829. The reversal of 26628800 is 882662.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299156 + ... + 299244.

Almost surely, 2^26628800 is an apocalyptic number.

26628800 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 26628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38267640).

26628800 is an abundant number, since it is smaller than the sum of its proper divisors (49906480).

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

26628800 is a wasteful number, since it uses less digits than its factorization.

26628800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 26628800 is about 5160.3100682033. The cubic root of 26628800 is about 298.6188362323.

It can be divided in two parts, 2662 and 8800, that multiplied together give a square (23425600 = 4840²).

The spelling of 26628800 in words is "twenty-six million, six hundred twenty-eight thousand, eight hundred".