28500833088 has 672 divisors, whose sum is σ = 107361386496. Its totient is φ = 7022923776.

The previous prime is 28500833087. The next prime is 28500833099. The reversal of 28500833088 is 88033800582.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28500833087) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 56661445 + ... + 56661947.

It is an arithmetic number, because the mean of its divisors is an integer number (159763968).

Almost surely, 2^28500833088 is an apocalyptic number.

28500833088 is a gapful number since it is divisible by the number (28) 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 28500833088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53680693248).

28500833088 is an abundant number, since it is smaller than the sum of its proper divisors (78860553408).

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

28500833088 is a wasteful number, since it uses less digits than its factorization.

28500833088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

It can be divided in two parts, 285008 and 33088, that added together give a square (318096 = 564²).

The spelling of 28500833088 in words is "twenty-eight billion, five hundred million, eight hundred thirty-three thousand, eighty-eight".