36068928 has 112 divisors (see below), whose sum is σ = 111581184. Its totient is φ = 10068480.

The previous prime is 36068911. The next prime is 36068933. The reversal of 36068928 is 82986063.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 36068928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62883 + ... + 63453.

Almost surely, 2^36068928 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 36068928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55790592).

36068928 is an abundant number, since it is smaller than the sum of its proper divisors (75512256).

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

36068928 is a wasteful number, since it uses less digits than its factorization.

36068928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 36068928 is about 6005.7412531677. The cubic root of 36068928 is about 330.4033268704.

The spelling of 36068928 in words is "thirty-six million, sixty-eight thousand, nine hundred twenty-eight".