26328100 has 36 divisors (see below), whose sum is σ = 59621184. Its totient is φ = 10072480.

The previous prime is 26328097. The next prime is 26328103. The reversal of 26328100 is 182362.

It is an interprime number because it is at equal distance from previous prime (26328097) and next prime (26328103).

It is a super-2 number, since 2×26328100² = 1386337699220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26328103) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3424 + ... + 8023.

It is an arithmetic number, because the mean of its divisors is an integer number (1656144).

Almost surely, 2^26328100 is an apocalyptic number.

26328100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26328100 is an abundant number, since it is smaller than the sum of its proper divisors (33293084).

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

26328100 is a wasteful number, since it uses less digits than its factorization.

26328100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11484 (or 11477 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 26328100 is about 5131.0915018152. The cubic root of 26328100 is about 297.4905488606.

The spelling of 26328100 in words is "twenty-six million, three hundred twenty-eight thousand, one hundred".