42751728 has 120 divisors (see below), whose sum is σ = 126329216. Its totient is φ = 13478400.

The previous prime is 42751703. The next prime is 42751763. The reversal of 42751728 is 82715724.

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 = 42751692 and 42751701.

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, 272226 + ... + 272382.

Almost surely, 2^42751728 is an apocalyptic number.

42751728 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 42751728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63164608).

42751728 is an abundant number, since it is smaller than the sum of its proper divisors (83577488).

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

42751728 is a wasteful number, since it uses less digits than its factorization.

42751728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 254 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 42751728 is about 6538.4805574384. The cubic root of 42751728 is about 349.6642439977.

The spelling of 42751728 in words is "forty-two million, seven hundred fifty-one thousand, seven hundred twenty-eight".