28515789120 has 1008 divisors, whose sum is σ = 121324713408. Its totient is φ = 5635768320.

The previous prime is 28515789101. The next prime is 28515789151. The reversal of 28515789120 is 2198751582.

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

It is a self number, because there is not a number n which added to its sum of digits gives 28515789120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 135145815 + ... + 135146025.

Almost surely, 2^28515789120 is an apocalyptic number.

28515789120 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 28515789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60662356704).

28515789120 is an abundant number, since it is smaller than the sum of its proper divisors (92808924288).

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

28515789120 is a wasteful number, since it uses less digits than its factorization.

28515789120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 48.

The spelling of 28515789120 in words is "twenty-eight billion, five hundred fifteen million, seven hundred eighty-nine thousand, one hundred twenty".