43829136 has 90 divisors (see below), whose sum is σ = 132895698. Its totient is φ = 13478400.

The previous prime is 43829129. The next prime is 43829141. The reversal of 43829136 is 63192834.

It can be written as a sum of positive squares in 3 ways, for example, as 1838736 + 41990400 = 1356^2 + 6480^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 43829136.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23436 + ... + 25236.

Almost surely, 2^43829136 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 43829136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66447849).

43829136 is an abundant number, since it is smaller than the sum of its proper divisors (89066562).

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

43829136 is a wasteful number, since it uses less digits than its factorization.

43829136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1841 (or 1819 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 43829136 is about 6620.3576942640. The cubic root of 43829136 is about 352.5772638843.

The spelling of 43829136 in words is "forty-three million, eight hundred twenty-nine thousand, one hundred thirty-six".