10428628800 has 336 divisors, whose sum is σ = 36907012800. Its totient is φ = 2569420800.

The previous prime is 10428628799. The next prime is 10428628823. The reversal of 10428628800 is 882682401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3737806 + ... + 3740594.

It is an arithmetic number, because the mean of its divisors is an integer number (109842300).

Almost surely, 2^10428628800 is an apocalyptic number.

10428628800 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 10428628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18453506400).

10428628800 is an abundant number, since it is smaller than the sum of its proper divisors (26478384000).

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

10428628800 is a wasteful number, since it uses less digits than its factorization.

10428628800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2874 (or 2859 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The spelling of 10428628800 in words is "ten billion, four hundred twenty-eight million, six hundred twenty-eight thousand, eight hundred".