10428563520 has 168 divisors, whose sum is σ = 35913608640. Its totient is φ = 2777564160.

The previous prime is 10428563489. The next prime is 10428563527. The reversal of 10428563520 is 2536582401.

10428563520 is a `hidden beast` number, since 1 + 0 + 42 + 8 + 563 + 52 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10428563527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3140421 + ... + 3143739.

It is an arithmetic number, because the mean of its divisors is an integer number (213771480).

Almost surely, 2^10428563520 is an apocalyptic number.

10428563520 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 10428563520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17956804320).

10428563520 is an abundant number, since it is smaller than the sum of its proper divisors (25485045120).

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

10428563520 is a wasteful number, since it uses less digits than its factorization.

10428563520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4433 (or 4420 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 10428563520 in words is "ten billion, four hundred twenty-eight million, five hundred sixty-three thousand, five hundred twenty".