36782928 has 180 divisors, whose sum is σ = 129280788. Its totient is φ = 9676800.

The previous prime is 36782923. The next prime is 36782981. The reversal of 36782928 is 82928763.

It can be written as a sum of positive squares in 2 ways, for example, as 23736384 + 13046544 = 4872^2 + 3612^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36782923) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 91528 + ... + 91928.

Almost surely, 2^36782928 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 36782928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64640394).

36782928 is an abundant number, since it is smaller than the sum of its proper divisors (92497860).

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

36782928 is a wasteful number, since it uses less digits than its factorization.

36782928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 426 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 36782928 is about 6064.8930740781. The cubic root of 36782928 is about 332.5692561185.

The spelling of 36782928 in words is "thirty-six million, seven hundred eighty-two thousand, nine hundred twenty-eight".