26828271952224 has 96 divisors (see below), whose sum is σ = 71475898090464. Its totient is φ = 8809508597760.

The previous prime is 26828271952211. The next prime is 26828271952249. The reversal of 26828271952224 is 42225917282862.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×26828271952224² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3422122 + ... + 8085014.

It is an arithmetic number, because the mean of its divisors is an integer number (744540605109).

Almost surely, 2^{26828271952224} is an apocalyptic number.

26828271952224 is a gapful number since it is divisible by the number (24) 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 26828271952224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35737949045232).

26828271952224 is an abundant number, since it is smaller than the sum of its proper divisors (44647626138240).

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

26828271952224 is a wasteful number, since it uses less digits than its factorization.

26828271952224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4663800 (or 4663792 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 60.

The spelling of 26828271952224 in words is "twenty-six trillion, eight hundred twenty-eight billion, two hundred seventy-one million, nine hundred fifty-two thousand, two hundred twenty-four".