26628120 has 192 divisors, whose sum is σ = 96876000. Its totient is φ = 6303744.

The previous prime is 26628113. The next prime is 26628157. The reversal of 26628120 is 2182662.

26628120 is a `hidden beast` number, since 26 + 628 + 12 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116166 + ... + 116394.

Almost surely, 2^26628120 is an apocalyptic number.

26628120 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 26628120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48438000).

26628120 is an abundant number, since it is smaller than the sum of its proper divisors (70247880).

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

26628120 is a wasteful number, since it uses less digits than its factorization.

26628120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 26628120 is about 5160.2441802690. The cubic root of 26628120 is about 298.6162943411.

The spelling of 26628120 in words is "twenty-six million, six hundred twenty-eight thousand, one hundred twenty".