42202728 has 64 divisors (see below), whose sum is σ = 119188800. Its totient is φ = 13832640.

The previous prime is 42202709. The next prime is 42202733. The reversal of 42202728 is 82720224.

42202728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11575 + ... + 14777.

It is an arithmetic number, because the mean of its divisors is an integer number (1862325).

Almost surely, 2^42202728 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 42202728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59594400).

42202728 is an abundant number, since it is smaller than the sum of its proper divisors (76986072).

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

42202728 is a wasteful number, since it uses less digits than its factorization.

42202728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3279 (or 3269 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 42202728 is about 6496.3626746049. The cubic root of 42202728 is about 348.1610431799.

The spelling of 42202728 in words is "forty-two million, two hundred two thousand, seven hundred twenty-eight".