36128268 has 144 divisors (see below), whose sum is σ = 107627520. Its totient is φ = 10497600.

The previous prime is 36128263. The next prime is 36128293. The reversal of 36128268 is 86282163.

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

It is not an unprimeable number, because it can be changed into a prime (36128263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 331398 + ... + 331506.

Almost surely, 2^36128268 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 36128268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53813760).

36128268 is an abundant number, since it is smaller than the sum of its proper divisors (71499252).

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

36128268 is a wasteful number, since it uses less digits than its factorization.

36128268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 156 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 36128268 is about 6010.6794956976. The cubic root of 36128268 is about 330.5844189481.

The spelling of 36128268 in words is "thirty-six million, one hundred twenty-eight thousand, two hundred sixty-eight".