36388128 has 96 divisors (see below), whose sum is σ = 110146176. Its totient is φ = 10303488.

The previous prime is 36388063. The next prime is 36388129. The reversal of 36388128 is 82188363.

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

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

It is not an unprimeable number, because it can be changed into a prime (36388129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116100 + ... + 116412.

It is an arithmetic number, because the mean of its divisors is an integer number (1147356).

Almost surely, 2^36388128 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 36388128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55073088).

36388128 is an abundant number, since it is smaller than the sum of its proper divisors (73758048).

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

36388128 is a wasteful number, since it uses less digits than its factorization.

36388128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 498 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 36388128 is about 6032.2572889425. The cubic root of 36388128 is about 331.3751250094.

The spelling of 36388128 in words is "thirty-six million, three hundred eighty-eight thousand, one hundred twenty-eight".