28985748480 has 528 divisors, whose sum is σ = 111814345440. Its totient is φ = 7078772736.

The previous prime is 28985748479. The next prime is 28985748497. The reversal of 28985748480 is 8484758982.

28985748480 is a `hidden beast` number, since 2 + 8 + 9 + 85 + 74 + 8 + 480 = 666.

It is a super-2 number, since 2×28985748480² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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, 228234177 + ... + 228234303.

Almost surely, 2^28985748480 is an apocalyptic number.

28985748480 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 28985748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55907172720).

28985748480 is an abundant number, since it is smaller than the sum of its proper divisors (82828596960).

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

28985748480 is a wasteful number, since it uses less digits than its factorization.

28985748480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 28985748480 in words is "twenty-eight billion, nine hundred eighty-five million, seven hundred forty-eight thousand, four hundred eighty".