36790728 has 64 divisors (see below), whose sum is σ = 101760960. Its totient is φ = 11010816.

The previous prime is 36790717. The next prime is 36790729. The reversal of 36790728 is 82709763.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 36790728.

It is not an unprimeable number, because it can be changed into a prime (36790729) 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, 9951 + ... + 13137.

It is an arithmetic number, because the mean of its divisors is an integer number (1590015).

Almost surely, 2^36790728 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 36790728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50880480).

36790728 is an abundant number, since it is smaller than the sum of its proper divisors (64970232).

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

36790728 is a wasteful number, since it uses less digits than its factorization.

36790728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3246 (or 3242 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 36790728 is about 6065.5360851288. The cubic root of 36790728 is about 332.5927621035.

The spelling of 36790728 in words is "thirty-six million, seven hundred ninety thousand, seven hundred twenty-eight".