42478128 has 160 divisors (see below), whose sum is σ = 152133120. Its totient is φ = 11024640.

The previous prime is 42478123. The next prime is 42478141. The reversal of 42478128 is 82187424.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42478092 and 42478101.

It is not an unprimeable number, because it can be changed into a prime (42478123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32626 + ... + 33902.

It is an arithmetic number, because the mean of its divisors is an integer number (950832).

Almost surely, 2^42478128 is an apocalyptic number.

42478128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42478128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76066560).

42478128 is an abundant number, since it is smaller than the sum of its proper divisors (109654992).

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

42478128 is a wasteful number, since it uses less digits than its factorization.

42478128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1300 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 42478128 is about 6517.5246834976. The cubic root of 42478128 is about 348.9167268475.

The spelling of 42478128 in words is "forty-two million, four hundred seventy-eight thousand, one hundred twenty-eight".