42193728 has 168 divisors, whose sum is σ = 133136640. Its totient is φ = 12718080.

The previous prime is 42193721. The next prime is 42193741. The reversal of 42193728 is 82739124.

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

Its product of digits (24192) is a multiple of the sum of its prime divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 42193692 and 42193701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42193721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303483 + ... + 303621.

It is an arithmetic number, because the mean of its divisors is an integer number (792480).

Almost surely, 2^42193728 is an apocalyptic number.

42193728 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 42193728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66568320).

42193728 is an abundant number, since it is smaller than the sum of its proper divisors (90942912).

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

42193728 is a wasteful number, since it uses less digits than its factorization.

42193728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 192 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 42193728 is about 6495.6699423539. The cubic root of 42193728 is about 348.1362922352.

It can be divided in two parts, 421 and 93728, that added together give a palindrome (94149).

The spelling of 42193728 in words is "forty-two million, one hundred ninety-three thousand, seven hundred twenty-eight".