26822324928 has 336 divisors, whose sum is σ = 88297877760. Its totient is φ = 7019550720.

The previous prime is 26822324899. The next prime is 26822324951. The reversal of 26822324928 is 82942322862.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×26822324928² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24539550 + ... + 24540642.

Almost surely, 2^26822324928 is an apocalyptic number.

26822324928 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 26822324928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44148938880).

26822324928 is an abundant number, since it is smaller than the sum of its proper divisors (61475552832).

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

26822324928 is a wasteful number, since it uses less digits than its factorization.

26822324928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1155 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The spelling of 26822324928 in words is "twenty-six billion, eight hundred twenty-two million, three hundred twenty-four thousand, nine hundred twenty-eight".