42049728 has 84 divisors (see below), whose sum is σ = 137759440. Its totient is φ = 12013056.

The previous prime is 42049703. The next prime is 42049747. The reversal of 42049728 is 82794024.

It is a tau number, because it is divible by the number of its divisors (84).

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 = 42049692 and 42049701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1183 + ... + 9246.

Almost surely, 2^42049728 is an apocalyptic number.

42049728 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 42049728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68879720).

42049728 is an abundant number, since it is smaller than the sum of its proper divisors (95709712).

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

42049728 is a wasteful number, since it uses less digits than its factorization.

42049728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10454 (or 10441 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 42049728 is about 6484.5761619400. The cubic root of 42049728 is about 347.7397975659.

The spelling of 42049728 in words is "forty-two million, forty-nine thousand, seven hundred twenty-eight".