10428684900 has 72 divisors (see below), whose sum is σ = 30223898880. Its totient is φ = 2776352640.

The previous prime is 10428684857. The next prime is 10428684919. The reversal of 10428684900 is 948682401.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153466 + ... + 210734.

Almost surely, 2^10428684900 is an apocalyptic number.

10428684900 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 10428684900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15111949440).

10428684900 is an abundant number, since it is smaller than the sum of its proper divisors (19795213980).

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

10428684900 is a wasteful number, since it uses less digits than its factorization.

10428684900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57893 (or 57886 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 10428684900 in words is "ten billion, four hundred twenty-eight million, six hundred eighty-four thousand, nine hundred".