10428433532352 has 840 divisors, whose sum is σ = 35288594641872. Its totient is φ = 3019548672000.

The previous prime is 10428433532351. The next prime is 10428433532357. The reversal of 10428433532352 is 25323533482401.

10428433532352 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 84 + 3 + 3 + 532 + 35 + 2 = 666.

It is a super-2 number, since 2×10428433532352² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10428433532298 and 10428433532307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10428433532351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4843674508 + ... + 4843676660.

Almost surely, 2^{10428433532352} is an apocalyptic number.

10428433532352 is a gapful number since it is divisible by the number (12) 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 10428433532352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17644297320936).

10428433532352 is an abundant number, since it is smaller than the sum of its proper divisors (24860161109520).

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

10428433532352 is a wasteful number, since it uses less digits than its factorization.

10428433532352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 10428433532352 in words is "ten trillion, four hundred twenty-eight billion, four hundred thirty-three million, five hundred thirty-two thousand, three hundred fifty-two".