10428698640 has 160 divisors (see below), whose sum is σ = 34646996736. Its totient is φ = 2588129280.

The previous prime is 10428698557. The next prime is 10428698659. The reversal of 10428698640 is 4689682401.

It is a Cunningham number, because it is equal to 102121²-1.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10428698640.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 178710 + ... + 229770.

Almost surely, 2^10428698640 is an apocalyptic number.

10428698640 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 10428698640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17323498368).

10428698640 is an abundant number, since it is smaller than the sum of its proper divisors (24218298096).

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

10428698640 is a wasteful number, since it uses less digits than its factorization.

10428698640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51137 (or 51131 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 10428698640 in words is "ten billion, four hundred twenty-eight million, six hundred ninety-eight thousand, six hundred forty".