42728416 has 48 divisors (see below), whose sum is σ = 91445760. Its totient is φ = 19578240.

The previous prime is 42728407. The next prime is 42728471. The reversal of 42728416 is 61482724.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17715 + ... + 19981.

It is an arithmetic number, because the mean of its divisors is an integer number (1905120).

Almost surely, 2^42728416 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 42728416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45722880).

42728416 is an abundant number, since it is smaller than the sum of its proper divisors (48717344).

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

42728416 is a wasteful number, since it uses less digits than its factorization.

42728416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2319 counting only the distinct ones).

The product of its digits is 21504, while the sum is 34.

The square root of 42728416 is about 6536.6976371865. The cubic root of 42728416 is about 349.6006765483.

The spelling of 42728416 in words is "forty-two million, seven hundred twenty-eight thousand, four hundred sixteen".