42210728 has 64 divisors (see below), whose sum is σ = 96940800. Its totient is φ = 16819200.

The previous prime is 42210713. The next prime is 42210731. The reversal of 42210728 is 82701224.

It is a junction number, because it is equal to n+sod(n) for n = 42210697 and 42210706.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95933 + ... + 96371.

It is an arithmetic number, because the mean of its divisors is an integer number (1514700).

Almost surely, 2^42210728 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 42210728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48470400).

42210728 is an abundant number, since it is smaller than the sum of its proper divisors (54730072).

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

42210728 is a wasteful number, since it uses less digits than its factorization.

42210728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 42210728 is about 6496.9783745985. The cubic root of 42210728 is about 348.1830410657.

It can be divided in two parts, 42210 and 728, that multiplied together give a triangular number (30728880 = T₇₈₃₉).

The spelling of 42210728 in words is "forty-two million, two hundred ten thousand, seven hundred twenty-eight".