42704628 has 48 divisors (see below), whose sum is σ = 105645120. Its totient is φ = 13388544.

The previous prime is 42704611. The next prime is 42704653. The reversal of 42704628 is 82640724.

It is a congruent number.

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, 35200 + ... + 36392.

It is an arithmetic number, because the mean of its divisors is an integer number (2200940).

Almost surely, 2^42704628 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 42704628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52822560).

42704628 is an abundant number, since it is smaller than the sum of its proper divisors (62940492).

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

42704628 is a wasteful number, since it uses less digits than its factorization.

42704628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 42704628 is about 6534.8778106404. The cubic root of 42704628 is about 349.5357872978.

The spelling of 42704628 in words is "forty-two million, seven hundred four thousand, six hundred twenty-eight".