10428765984 has 768 divisors, whose sum is σ = 40100659200. Its totient is φ = 2561974272.

The previous prime is 10428765983. The next prime is 10428766003. The reversal of 10428765984 is 48956782401.

It is a happy number.

10428765984 is a `hidden beast` number, since 1 + 0 + 42 + 8 + 7 + 6 + 598 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10428765984.

It is not an unprimeable number, because it can be changed into a prime (10428765983) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 132009657 + ... + 132009735.

It is an arithmetic number, because the mean of its divisors is an integer number (52214400).

Almost surely, 2^10428765984 is an apocalyptic number.

10428765984 is a gapful number since it is divisible by the number (14) 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 10428765984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20050329600).

10428765984 is an abundant number, since it is smaller than the sum of its proper divisors (29671893216).

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

10428765984 is a wasteful number, since it uses less digits than its factorization.

10428765984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 10428765984 in words is "ten billion, four hundred twenty-eight million, seven hundred sixty-five thousand, nine hundred eighty-four".