42128856 has 256 divisors, whose sum is σ = 155520000. Its totient is φ = 10229760.

The previous prime is 42128831. The next prime is 42128869. The reversal of 42128856 is 65882124.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42128856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 282670 + ... + 282818.

It is an arithmetic number, because the mean of its divisors is an integer number (607500).

Almost surely, 2^42128856 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 42128856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77760000).

42128856 is an abundant number, since it is smaller than the sum of its proper divisors (113391144).

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

42128856 is a wasteful number, since it uses less digits than its factorization.

42128856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 189 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 42128856 is about 6490.6745412168. The cubic root of 42128856 is about 347.9577832260.

The spelling of 42128856 in words is "forty-two million, one hundred twenty-eight thousand, eight hundred fifty-six".