28516247760 has 960 divisors, whose sum is σ = 124936003584. Its totient is φ = 5283532800.

The previous prime is 28516247713. The next prime is 28516247777. The reversal of 28516247760 is 6774261582.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 52131807 + ... + 52132353.

Almost surely, 2^28516247760 is an apocalyptic number.

28516247760 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 28516247760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62468001792).

28516247760 is an abundant number, since it is smaller than the sum of its proper divisors (96419755824).

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

28516247760 is a wasteful number, since it uses less digits than its factorization.

28516247760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 28516247760 in words is "twenty-eight billion, five hundred sixteen million, two hundred forty-seven thousand, seven hundred sixty".