10428400 has 90 divisors (see below), whose sum is σ = 26784992. Its totient is φ = 3897600.

The previous prime is 10428389. The next prime is 10428401. The reversal of 10428400 is 482401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10428401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 336385 + ... + 336415.

Almost surely, 2^10428400 is an apocalyptic number.

10428400 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 10428400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13392496).

10428400 is an abundant number, since it is smaller than the sum of its proper divisors (16356592).

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

10428400 is a wasteful number, since it uses less digits than its factorization.

10428400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 10428400 is about 3229.3033304414. The cubic root of 10428400 is about 218.4770855013.

The spelling of 10428400 in words is "ten million, four hundred twenty-eight thousand, four hundred".