28615141513728 has 2880 divisors, whose sum is σ = 115292546519040. Its totient is φ = 6920615116800.

The previous prime is 28615141513703. The next prime is 28615141513729. The reversal of 28615141513728 is 82731514151682.

28615141513728 is a `hidden beast` number, since 2 + 8 + 6 + 1 + 51 + 4 + 1 + 513 + 72 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (28615141513729) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 427091664351 + ... + 427091664417.

It is an arithmetic number, because the mean of its divisors is an integer number (40032134208).

Almost surely, 2^{28615141513728} is an apocalyptic number.

28615141513728 is a gapful number since it is divisible by the number (28) 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 28615141513728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57646273259520).

28615141513728 is an abundant number, since it is smaller than the sum of its proper divisors (86677405005312).

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

28615141513728 is a wasteful number, since it uses less digits than its factorization.

28615141513728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 164 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 54.

The spelling of 28615141513728 in words is "twenty-eight trillion, six hundred fifteen billion, one hundred forty-one million, five hundred thirteen thousand, seven hundred twenty-eight".