36428382720 has 480 divisors, whose sum is σ = 135126351360. Its totient is φ = 9395896320.

The previous prime is 36428382707. The next prime is 36428382773. The reversal of 36428382720 is 2728382463.

36428382720 is a `hidden beast` number, since 364 + 283 + 8 + 2 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19283536 + ... + 19285424.

It is an arithmetic number, because the mean of its divisors is an integer number (281513232).

Almost surely, 2^36428382720 is an apocalyptic number.

36428382720 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 36428382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67563175680).

36428382720 is an abundant number, since it is smaller than the sum of its proper divisors (98697968640).

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

36428382720 is an equidigital number, since it uses as much as digits as its factorization.

36428382720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 36428382720 in words is "thirty-six billion, four hundred twenty-eight million, three hundred eighty-two thousand, seven hundred twenty".