28318187520 has 960 divisors, whose sum is σ = 120792268800. Its totient is φ = 6157762560.

The previous prime is 28318187507. The next prime is 28318187531. The reversal of 28318187520 is 2578181382.

It is a tau number, because it is divible by the number of its divisors (960).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 479969251 + ... + 479969309.

It is an arithmetic number, because the mean of its divisors is an integer number (125825280).

Almost surely, 2^28318187520 is an apocalyptic number.

28318187520 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 28318187520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60396134400).

28318187520 is an abundant number, since it is smaller than the sum of its proper divisors (92474081280).

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

28318187520 is an equidigital number, since it uses as much as digits as its factorization.

28318187520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 28318187520 in words is "twenty-eight billion, three hundred eighteen million, one hundred eighty-seven thousand, five hundred twenty".