42517728 has 72 divisors (see below), whose sum is σ = 131911416. Its totient is φ = 12883200.

The previous prime is 42517723. The next prime is 42517729. The reversal of 42517728 is 82771524.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 42517692 and 42517701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42517723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3543 + ... + 9878.

It is an arithmetic number, because the mean of its divisors is an integer number (1832103).

Almost surely, 2^42517728 is an apocalyptic number.

42517728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42517728 is an abundant number, since it is smaller than the sum of its proper divisors (89393688).

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

42517728 is a wasteful number, since it uses less digits than its factorization.

42517728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13448 (or 13437 counting only the distinct ones).

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

The square root of 42517728 is about 6520.5619389743. The cubic root of 42517728 is about 349.0251184019.

The spelling of 42517728 in words is "forty-two million, five hundred seventeen thousand, seven hundred twenty-eight".