828100361088 has 768 divisors, whose sum is σ = 3318102627840. Its totient is φ = 198538076160.

The previous prime is 828100361083. The next prime is 828100361107. The reversal of 828100361088 is 880163001828.

828100361088 is a `hidden beast` number, since 8 + 28 + 1 + 0 + 0 + 3 + 610 + 8 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828100361083) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31121806 + ... + 31148402.

It is an arithmetic number, because the mean of its divisors is an integer number (4320446130).

Almost surely, 2^828100361088 is an apocalyptic number.

828100361088 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 828100361088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659051313920).

828100361088 is an abundant number, since it is smaller than the sum of its proper divisors (2490002266752).

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

828100361088 is a wasteful number, since it uses less digits than its factorization.

828100361088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26657 (or 26633 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 828100361088 in words is "eight hundred twenty-eight billion, one hundred million, three hundred sixty-one thousand, eighty-eight".