36392928 has 144 divisors (see below), whose sum is σ = 113552208. Its totient is φ = 10137600.

The previous prime is 36392891. The next prime is 36392933. The reversal of 36392928 is 82929363.

36392928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 36392928.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150888 + ... + 151128.

It is an arithmetic number, because the mean of its divisors is an integer number (788557).

Almost surely, 2^36392928 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 36392928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56776104).

36392928 is an abundant number, since it is smaller than the sum of its proper divisors (77159280).

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

36392928 is a wasteful number, since it uses less digits than its factorization.

36392928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 270 counting only the distinct ones).

The product of its digits is 139968, while the sum is 42.

The square root of 36392928 is about 6032.6551368365. The cubic root of 36392928 is about 331.3896950606.

It can be divided in two parts, 363 and 92928, that multiplied together give a square (33732864 = 5808²).

The spelling of 36392928 in words is "thirty-six million, three hundred ninety-two thousand, nine hundred twenty-eight".