28090501824 has 448 divisors, whose sum is σ = 96402631680. Its totient is φ = 7007109120.

The previous prime is 28090501811. The next prime is 28090501903. The reversal of 28090501824 is 42810509082.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48683424 + ... + 48684000.

Almost surely, 2^28090501824 is an apocalyptic number.

28090501824 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 28090501824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48201315840).

28090501824 is an abundant number, since it is smaller than the sum of its proper divisors (68312129856).

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

28090501824 is a wasteful number, since it uses less digits than its factorization.

28090501824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 28090501824 in words is "twenty-eight billion, ninety million, five hundred one thousand, eight hundred twenty-four".