26224128 has 160 divisors (see below), whose sum is σ = 89041920. Its totient is φ = 7464960.

The previous prime is 26224127. The next prime is 26224139. The reversal of 26224128 is 82142262.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26224127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96633 + ... + 96903.

It is an arithmetic number, because the mean of its divisors is an integer number (556512).

Almost surely, 2^26224128 is an apocalyptic number.

26224128 is a gapful number since it is divisible by the number (28) 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 26224128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44520960).

26224128 is an abundant number, since it is smaller than the sum of its proper divisors (62817792).

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

26224128 is an equidigital number, since it uses as much as digits as its factorization.

26224128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 283 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 26224128 is about 5120.9499118816. The cubic root of 26224128 is about 297.0984267184.

The spelling of 26224128 in words is "twenty-six million, two hundred twenty-four thousand, one hundred twenty-eight".