104084999928 has 288 divisors, whose sum is σ = 354529375200. Its totient is φ = 27343443456.

The previous prime is 104084999923. The next prime is 104084999939. The reversal of 104084999928 is 829999480401.

104084999928 is a `hidden beast` number, since 10 + 40 + 8 + 499 + 9 + 92 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104084999923) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12057918 + ... + 12066546.

It is an arithmetic number, because the mean of its divisors is an integer number (1231004775).

Almost surely, 2^104084999928 is an apocalyptic number.

104084999928 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 104084999928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177264687600).

104084999928 is an abundant number, since it is smaller than the sum of its proper divisors (250444375272).

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

104084999928 is a wasteful number, since it uses less digits than its factorization.

104084999928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8931 (or 8917 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 104084999928 in words is "one hundred four billion, eighty-four million, nine hundred ninety-nine thousand, nine hundred twenty-eight".