36791328 has 96 divisors (see below), whose sum is σ = 112565376. Its totient is φ = 10303488.

The previous prime is 36791323. The next prime is 36791341. The reversal of 36791328 is 82319763.

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

It is not an unprimeable number, because it can be changed into a prime (36791323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35100 + ... + 36132.

It is an arithmetic number, because the mean of its divisors is an integer number (1172556).

Almost surely, 2^36791328 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 36791328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56282688).

36791328 is an abundant number, since it is smaller than the sum of its proper divisors (75774048).

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

36791328 is a wasteful number, since it uses less digits than its factorization.

36791328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1098 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 36791328 is about 6065.5855446939. The cubic root of 36791328 is about 332.5945701185.

The spelling of 36791328 in words is "thirty-six million, seven hundred ninety-one thousand, three hundred twenty-eight".