28712845980 has 1344 divisors, whose sum is σ = 125863234560. Its totient is φ = 5321023488.

The previous prime is 28712845979. The next prime is 28712846017. The reversal of 28712845980 is 8954821782.

28712845980 is a `hidden beast` number, since 28 + 7 + 1 + 28 + 4 + 598 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 447 ways as a sum of consecutive naturals, for example, 428549907 + ... + 428549973.

It is an arithmetic number, because the mean of its divisors is an integer number (93648240).

Almost surely, 2^28712845980 is an apocalyptic number.

28712845980 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 28712845980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62931617280).

28712845980 is an abundant number, since it is smaller than the sum of its proper divisors (97150388580).

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

28712845980 is a wasteful number, since it uses less digits than its factorization.

28712845980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 28712845980 in words is "twenty-eight billion, seven hundred twelve million, eight hundred forty-five thousand, nine hundred eighty".