102328252000128 has 2304 divisors, whose sum is σ = 411682214361600. Its totient is φ = 24931772006400.

The previous prime is 102328252000123. The next prime is 102328252000153. The reversal of 102328252000128 is 821000252823201.

102328252000128 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 2 + 8 + 2 + 520 + 0 + 0 + 128 = 666.

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 = 102328252000092 and 102328252000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102328252000123) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 162168386373 + ... + 162168387003.

It is an arithmetic number, because the mean of its divisors is an integer number (178681516650).

Almost surely, 2^{102328252000128} is an apocalyptic number.

102328252000128 is a gapful number since it is divisible by the number (18) 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 102328252000128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205841107180800).

102328252000128 is an abundant number, since it is smaller than the sum of its proper divisors (309353962361472).

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

102328252000128 is a wasteful number, since it uses less digits than its factorization.

102328252000128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 102328252000128 in words is "one hundred two trillion, three hundred twenty-eight billion, two hundred fifty-two million, one hundred twenty-eight", and thus it is an aban number.