42755328 has 216 divisors, whose sum is σ = 154330176. Its totient is φ = 11059200.

The previous prime is 42755303. The next prime is 42755351. The reversal of 42755328 is 82355724.

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

It is a junction number, because it is equal to n+sod(n) for n = 42755292 and 42755301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177288 + ... + 177528.

Almost surely, 2^42755328 is an apocalyptic number.

42755328 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 42755328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77165088).

42755328 is an abundant number, since it is smaller than the sum of its proper divisors (111574848).

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

42755328 is a wasteful number, since it uses less digits than its factorization.

42755328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 264 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 42755328 is about 6538.7558449601. The cubic root of 42755328 is about 349.6740584622.

It can be divided in two parts, 427 and 55328, that added together give a palindrome (55755).

The spelling of 42755328 in words is "forty-two million, seven hundred fifty-five thousand, three hundred twenty-eight".