10428759450 has 96 divisors (see below), whose sum is σ = 28774854720. Its totient is φ = 2777342400.

The previous prime is 10428759437. The next prime is 10428759461. The reversal of 10428759450 is 5495782401.

10428759450 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 8 + 7 + 594 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 10428759396 and 10428759405.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1111780 + ... + 1121120.

It is an arithmetic number, because the mean of its divisors is an integer number (299738070).

Almost surely, 2^10428759450 is an apocalyptic number.

10428759450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10428759450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14387427360).

10428759450 is an abundant number, since it is smaller than the sum of its proper divisors (18346095270).

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

10428759450 is a wasteful number, since it uses less digits than its factorization.

10428759450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10189 (or 10178 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 10428759450 in words is "ten billion, four hundred twenty-eight million, seven hundred fifty-nine thousand, four hundred fifty".