28105515648 has 768 divisors, whose sum is σ = 102558960000. Its totient is φ = 7543259136.

The previous prime is 28105515629. The next prime is 28105515661. The reversal of 28105515648 is 84651550182.

28105515648 is a `hidden beast` number, since 2 + 8 + 1 + 0 + 551 + 56 + 48 = 666.

It is a super-3 number, since 3×28105515648³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 289747536 + ... + 289747632.

Almost surely, 2^28105515648 is an apocalyptic number.

28105515648 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 28105515648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51279480000).

28105515648 is an abundant number, since it is smaller than the sum of its proper divisors (74453444352).

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

28105515648 is a wasteful number, since it uses less digits than its factorization.

28105515648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 28105515648 in words is "twenty-eight billion, one hundred five million, five hundred fifteen thousand, six hundred forty-eight".