10428893280 has 576 divisors, whose sum is σ = 40864824000. Its totient is φ = 2400731136.

The previous prime is 10428893249. The next prime is 10428893323. The reversal of 10428893280 is 8239882401.

10428893280 is a `hidden beast` number, since 1 + 0 + 4 + 288 + 93 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38768986 + ... + 38769254.

It is an arithmetic number, because the mean of its divisors is an integer number (70945875).

Almost surely, 2^10428893280 is an apocalyptic number.

10428893280 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 10428893280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20432412000).

10428893280 is an abundant number, since it is smaller than the sum of its proper divisors (30435930720).

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

10428893280 is a wasteful number, since it uses less digits than its factorization.

10428893280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 10428893280 in words is "ten billion, four hundred twenty-eight million, eight hundred ninety-three thousand, two hundred eighty".