828110266368 has 448 divisors, whose sum is σ = 2766058536960. Its totient is φ = 214076620800.

The previous prime is 828110266367. The next prime is 828110266391. The reversal of 828110266368 is 863662011828.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×828110266368³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 828110266368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828110266363) 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, 452271213 + ... + 452273043.

Almost surely, 2^828110266368 is an apocalyptic number.

828110266368 is a gapful number since it is divisible by the number (88) 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 828110266368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383029268480).

828110266368 is an abundant number, since it is smaller than the sum of its proper divisors (1937948270592).

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

828110266368 is a wasteful number, since it uses less digits than its factorization.

828110266368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 828110266368 in words is "eight hundred twenty-eight billion, one hundred ten million, two hundred sixty-six thousand, three hundred sixty-eight".