26828987332224 has 256 divisors, whose sum is σ = 89415177984000. Its totient is φ = 6924181155840.

The previous prime is 26828987332223. The next prime is 26828987332253. The reversal of 26828987332224 is 42223378982862.

It is a super-2 number, since 2×26828987332224² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (26828987332223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1752477 + ... + 7531875.

It is an arithmetic number, because the mean of its divisors is an integer number (349278039000).

Almost surely, 2^{26828987332224} is an apocalyptic number.

26828987332224 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 26828987332224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44707588992000).

26828987332224 is an abundant number, since it is smaller than the sum of its proper divisors (62586190651776).

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

26828987332224 is a wasteful number, since it uses less digits than its factorization.

26828987332224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5779591 (or 5779579 counting only the distinct ones).

The product of its digits is 222953472, while the sum is 66.

The spelling of 26828987332224 in words is "twenty-six trillion, eight hundred twenty-eight billion, nine hundred eighty-seven million, three hundred thirty-two thousand, two hundred twenty-four".