10428642 has 64 divisors (see below), whose sum is σ = 27095040. Its totient is φ = 2911248.

The previous prime is 10428631. The next prime is 10428643. The reversal of 10428642 is 24682401.

10428642 is a `hidden beast` number, since 10 + 4 + 2 + 8 + 642 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10428643) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 17473 + ... + 18059.

It is an arithmetic number, because the mean of its divisors is an integer number (423360).

Almost surely, 2^10428642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10428642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13547520).

10428642 is an abundant number, since it is smaller than the sum of its proper divisors (16666398).

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

10428642 is a wasteful number, since it uses less digits than its factorization.

10428642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 646 counting only the distinct ones).

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

The square root of 10428642 is about 3229.3407996060. The cubic root of 10428642 is about 218.4787754712.

The spelling of 10428642 in words is "ten million, four hundred twenty-eight thousand, six hundred forty-two".