104598433728 has 140 divisors (see below), whose sum is σ = 312808193280. Its totient is φ = 34557401088.

The previous prime is 104598433727. The next prime is 104598433781. The reversal of 104598433728 is 827334895401.

It is a happy number.

104598433728 is a `hidden beast` number, since 1 + 0 + 4 + 598 + 43 + 3 + 7 + 2 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104598433727) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 496513 + ... + 675071.

Almost surely, 2^104598433728 is an apocalyptic number.

104598433728 is a gapful number since it is divisible by the number (18) 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 104598433728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156404096640).

104598433728 is an abundant number, since it is smaller than the sum of its proper divisors (208209759552).

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

104598433728 is a wasteful number, since it uses less digits than its factorization.

104598433728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178696 (or 178677 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 104598433728 in words is "one hundred four billion, five hundred ninety-eight million, four hundred thirty-three thousand, seven hundred twenty-eight".