26028600 has 192 divisors, whose sum is σ = 89994240. Its totient is φ = 6182400.

The previous prime is 26028599. The next prime is 26028601. The reversal of 26028600 is 682062.

It is an interprime number because it is at equal distance from previous prime (26028599) and next prime (26028601).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26028601) 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 47 ways as a sum of consecutive naturals, for example, 366565 + ... + 366635.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 2^26028600 is an apocalyptic number.

26028600 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 26028600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44997120).

26028600 is an abundant number, since it is smaller than the sum of its proper divisors (63965640).

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

26028600 is a wasteful number, since it uses less digits than its factorization.

26028600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 26028600 is about 5101.8232035224. The cubic root of 26028600 is about 296.3581918918.

The spelling of 26028600 in words is "twenty-six million, twenty-eight thousand, six hundred".