126633728 has 54 divisors (see below), whose sum is σ = 273806064. Its totient is φ = 58426368.

The previous prime is 126633701. The next prime is 126633733. The reversal of 126633728 is 827336621.

It is a super-3 number, since 3×126633728³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 126633691 and 126633700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41801 + ... + 44727.

Almost surely, 2^126633728 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 126633728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136903032).

126633728 is an abundant number, since it is smaller than the sum of its proper divisors (147172336).

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

126633728 is an equidigital number, since it uses as much as digits as its factorization.

126633728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2969 (or 2942 counting only the distinct ones).

The product of its digits is 72576, while the sum is 38.

The square root of 126633728 is about 11253.1652436104. The cubic root of 126633728 is about 502.1688822958.

The spelling of 126633728 in words is "one hundred twenty-six million, six hundred thirty-three thousand, seven hundred twenty-eight".