36912128 has 88 divisors (see below), whose sum is σ = 84008880. Its totient is φ = 16056320.

The previous prime is 36912121. The next prime is 36912163. The reversal of 36912128 is 82121963.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 36912094 and 36912103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36912121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 326600 + ... + 326712.

Almost surely, 2^36912128 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 36912128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42004440).

36912128 is an abundant number, since it is smaller than the sum of its proper divisors (47096752).

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

36912128 is a wasteful number, since it uses less digits than its factorization.

36912128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 155 counting only the distinct ones).

The product of its digits is 5184, while the sum is 32.

The square root of 36912128 is about 6075.5352027620. The cubic root of 36912128 is about 332.9581841699.

The spelling of 36912128 in words is "thirty-six million, nine hundred twelve thousand, one hundred twenty-eight".