36935628 has 48 divisors (see below), whose sum is σ = 91695744. Its totient is φ = 11531520.

The previous prime is 36935627. The next prime is 36935641. The reversal of 36935628 is 82653963.

It is a self number, because there is not a number n which added to its sum of digits gives 36935628.

It is not an unprimeable number, because it can be changed into a prime (36935621) 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, 67251 + ... + 67797.

It is an arithmetic number, because the mean of its divisors is an integer number (1910328).

Almost surely, 2^36935628 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 36935628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45847872).

36935628 is an abundant number, since it is smaller than the sum of its proper divisors (54760116).

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

36935628 is a wasteful number, since it uses less digits than its factorization.

36935628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 900 counting only the distinct ones).

The product of its digits is 233280, while the sum is 42.

The square root of 36935628 is about 6077.4688810392. The cubic root of 36935628 is about 333.0288281367.

The spelling of 36935628 in words is "thirty-six million, nine hundred thirty-five thousand, six hundred twenty-eight".