28498671600 has 240 divisors, whose sum is σ = 104677347840. Its totient is φ = 6492441600.

The previous prime is 28498671589. The next prime is 28498671601. The reversal of 28498671600 is 617689482.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28498671601) 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 47 ways as a sum of consecutive naturals, for example, 2606946 + ... + 2617854.

It is an arithmetic number, because the mean of its divisors is an integer number (436155616).

Almost surely, 2^28498671600 is an apocalyptic number.

28498671600 is a gapful number since it is divisible by the number (20) 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 28498671600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52338673920).

28498671600 is an abundant number, since it is smaller than the sum of its proper divisors (76178676240).

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

28498671600 is a wasteful number, since it uses less digits than its factorization.

28498671600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11248 (or 11237 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 28498671600 in words is "twenty-eight billion, four hundred ninety-eight million, six hundred seventy-one thousand, six hundred".