10428020064 has 648 divisors, whose sum is σ = 39339203904. Its totient is φ = 2607897600.

The previous prime is 10428020063. The next prime is 10428020069. The reversal of 10428020064 is 46002082401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10428020063) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 52934014 + ... + 52934210.

It is an arithmetic number, because the mean of its divisors is an integer number (60708648).

Almost surely, 2^10428020064 is an apocalyptic number.

10428020064 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 10428020064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19669601952).

10428020064 is an abundant number, since it is smaller than the sum of its proper divisors (28911183840).

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

10428020064 is a wasteful number, since it uses less digits than its factorization.

10428020064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 10428020064 in words is "ten billion, four hundred twenty-eight million, twenty thousand, sixty-four".