10742028 has 48 divisors (see below), whose sum is σ = 28957824. Its totient is φ = 3063040.

The previous prime is 10742021. The next prime is 10742077. The reversal of 10742028 is 82024701.

It is a junction number, because it is equal to n+sod(n) for n = 10741989 and 10742007.

It is not an unprimeable number, because it can be changed into a prime (10742021) 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 15 ways as a sum of consecutive naturals, for example, 150 + ... + 4637.

It is an arithmetic number, because the mean of its divisors is an integer number (603288).

Almost surely, 2^10742028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10742028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14478912).

10742028 is an abundant number, since it is smaller than the sum of its proper divisors (18215796).

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

10742028 is a wasteful number, since it uses less digits than its factorization.

10742028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4822 (or 4820 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 10742028 is about 3277.5033180761. The cubic root of 10742028 is about 220.6456788981.

Adding to 10742028 its reverse (82024701), we get a palindrome (92766729).

The spelling of 10742028 in words is "ten million, seven hundred forty-two thousand, twenty-eight".