36187128 has 128 divisors (see below), whose sum is σ = 106920000. Its totient is φ = 11321856.

The previous prime is 36187061. The next prime is 36187139. The reversal of 36187128 is 82178163.

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 = 36187092 and 36187101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331938 + ... + 332046.

Almost surely, 2^36187128 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 36187128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53460000).

36187128 is an abundant number, since it is smaller than the sum of its proper divisors (70732872).

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

36187128 is a wasteful number, since it uses less digits than its factorization.

36187128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 196 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 36187128 is about 6015.5737880937. The cubic root of 36187128 is about 330.7638503874.

It can be divided in two parts, 36187 and 128, that added together give a triangular number (36315 = T₂₆₉).

The spelling of 36187128 in words is "thirty-six million, one hundred eighty-seven thousand, one hundred twenty-eight".