10428108687360 has 4608 divisors, whose sum is σ = 50933916633600. Its totient is φ = 2022633897984.

The previous prime is 10428108687329. The next prime is 10428108687361. The reversal of 10428108687360 is 6378680182401.

10428108687360 is a `hidden beast` number, since 1 + 0 + 428 + 1 + 0 + 86 + 87 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10428108687297 and 10428108687306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10428108687361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 242514155499 + ... + 242514155541.

It is an arithmetic number, because the mean of its divisors is an integer number (11053367325).

Almost surely, 2^{10428108687360} is an apocalyptic number.

10428108687360 is a gapful number since it is divisible by the number (10) 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 10428108687360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25466958316800).

10428108687360 is an abundant number, since it is smaller than the sum of its proper divisors (40505807946240).

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

10428108687360 is an equidigital number, since it uses as much as digits as its factorization.

10428108687360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 10428108687360 in words is "ten trillion, four hundred twenty-eight billion, one hundred eight million, six hundred eighty-seven thousand, three hundred sixty".