28503535680 has 504 divisors, whose sum is σ = 104717792088. Its totient is φ = 7113080832.

The previous prime is 28503535649. The next prime is 28503535693. The reversal of 28503535680 is 8653530582.

28503535680 is a `hidden beast` number, since 2 + 8 + 50 + 3 + 535 + 68 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4100097024 + 24403438656 = 64032^2 + 156216^2 .

It is a super-3 number, since 3×28503535680³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80746384 + ... + 80746736.

It is an arithmetic number, because the mean of its divisors is an integer number (207773397).

Almost surely, 2^28503535680 is an apocalyptic number.

28503535680 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 28503535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52358896044).

28503535680 is an abundant number, since it is smaller than the sum of its proper divisors (76214256408).

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

28503535680 is a wasteful number, since it uses less digits than its factorization.

28503535680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 28503535680 in words is "twenty-eight billion, five hundred three million, five hundred thirty-five thousand, six hundred eighty".