42728730 has 96 divisors (see below), whose sum is σ = 114912000. Its totient is φ = 10158720.

The previous prime is 42728729. The next prime is 42728753. The reversal of 42728730 is 3782724.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 42728691 and 42728700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 286696 + ... + 286844.

It is an arithmetic number, because the mean of its divisors is an integer number (1197000).

Almost surely, 2^42728730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42728730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57456000).

42728730 is an abundant number, since it is smaller than the sum of its proper divisors (72183270).

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

42728730 is a wasteful number, since it uses less digits than its factorization.

42728730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 42728730 is about 6536.7216553866. The cubic root of 42728730 is about 349.6015329210.

The spelling of 42728730 in words is "forty-two million, seven hundred twenty-eight thousand, seven hundred thirty".