36428940 has 120 divisors (see below), whose sum is σ = 115869600. Its totient is φ = 9580032.

The previous prime is 36428929. The next prime is 36428957. The reversal of 36428940 is 4982463.

It is a happy number.

36428940 is a `hidden beast` number, since 3 + 642 + 8 + 9 + 4 + 0 = 666.

36428940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36428895 and 36428904.

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 39 ways as a sum of consecutive naturals, for example, 182961 + ... + 183159.

It is an arithmetic number, because the mean of its divisors is an integer number (965580).

Almost surely, 2^36428940 is an apocalyptic number.

36428940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36428940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57934800).

36428940 is an abundant number, since it is smaller than the sum of its proper divisors (79440660).

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

36428940 is a wasteful number, since it uses less digits than its factorization.

36428940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 36428940 is about 6035.6391542239. The cubic root of 36428940 is about 331.4989660294.

The spelling of 36428940 in words is "thirty-six million, four hundred twenty-eight thousand, nine hundred forty".