436483781028 has 96 divisors (see below), whose sum is σ = 1142201424000. Its totient is φ = 144140694912.

The previous prime is 436483781023. The next prime is 436483781051. The reversal of 436483781028 is 820187384634.

It is a super-2 number, since 2×436483781028² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (436483781023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5246298 + ... + 5328846.

It is an arithmetic number, because the mean of its divisors is an integer number (11897931500).

Almost surely, 2^436483781028 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 436483781028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571100712000).

436483781028 is an abundant number, since it is smaller than the sum of its proper divisors (705717642972).

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

436483781028 is a wasteful number, since it uses less digits than its factorization.

436483781028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83018 (or 83010 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 436483781028 in words is "four hundred thirty-six billion, four hundred eighty-three million, seven hundred eighty-one thousand, twenty-eight".