10428600 has 192 divisors, whose sum is σ = 39997440. Its totient is φ = 2188800.

The previous prime is 10428581. The next prime is 10428611. The reversal of 10428600 is 682401.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54505 + ... + 54695.

It is an arithmetic number, because the mean of its divisors is an integer number (208320).

Almost surely, 2^10428600 is an apocalyptic number.

10428600 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 10428600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19998720).

10428600 is an abundant number, since it is smaller than the sum of its proper divisors (29568840).

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

10428600 is a wasteful number, since it uses less digits than its factorization.

10428600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 10428600 is about 3229.3342967243. The cubic root of 10428600 is about 218.4784821725.

The spelling of 10428600 in words is "ten million, four hundred twenty-eight thousand, six hundred".