8100088128 has 224 divisors, whose sum is σ = 26303264640. Its totient is φ = 2454105600.

The previous prime is 8100088127. The next prime is 8100088153. The reversal of 8100088128 is 8218800018.

It is a happy number.

It is a super-2 number, since 2×8100088128² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8100088092 and 8100088101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8100088123) 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, 1537018 + ... + 1542278.

Almost surely, 2^8100088128 is an apocalyptic number.

8100088128 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 8100088128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13151632320).

8100088128 is an abundant number, since it is smaller than the sum of its proper divisors (18203176512).

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

8100088128 is an equidigital number, since it uses as much as digits as its factorization.

8100088128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5305 (or 5277 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The square root of 8100088128 is about 90000.4895986683. The cubic root of 8100088128 is about 2008.3061336506.

The spelling of 8100088128 in words is "eight billion, one hundred million, eighty-eight thousand, one hundred twenty-eight".