126853728 has 96 divisors (see below), whose sum is σ = 371226240. Its totient is φ = 37693440.

The previous prime is 126853721. The next prime is 126853733. The reversal of 126853728 is 827358621.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 126853728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126853721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28963 + ... + 33053.

It is an arithmetic number, because the mean of its divisors is an integer number (3866940).

Almost surely, 2^126853728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126853728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185613120).

126853728 is an abundant number, since it is smaller than the sum of its proper divisors (244372512).

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

126853728 is a wasteful number, since it uses less digits than its factorization.

126853728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4140 (or 4132 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 126853728 is about 11262.9360292954. The cubic root of 126853728 is about 502.4595190280.

The spelling of 126853728 in words is "one hundred twenty-six million, eight hundred fifty-three thousand, seven hundred twenty-eight".