28037659104 has 576 divisors, whose sum is σ = 101939160960. Its totient is φ = 7113277440.

The previous prime is 28037659103. The next prime is 28037659121. The reversal of 28037659104 is 40195673082.

28037659104 is a `hidden beast` number, since 28 + 0 + 37 + 6 + 591 + 0 + 4 = 666.

It is a super-4 number, since 4×28037659104⁴ (a number of 43 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 28037659104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28037659103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104229082 + ... + 104229350.

It is an arithmetic number, because the mean of its divisors is an integer number (176977710).

It is a 1-persistent number, because it is pandigital, but 2⋅28037659104 = 56075318208 is not.

Almost surely, 2^28037659104 is an apocalyptic number.

28037659104 is a gapful number since it is divisible by the number (24) 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 28037659104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50969580480).

28037659104 is an abundant number, since it is smaller than the sum of its proper divisors (73901501856).

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

28037659104 is a wasteful number, since it uses less digits than its factorization.

28037659104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 28037659104 in words is "twenty-eight billion, thirty-seven million, six hundred fifty-nine thousand, one hundred four".