28648488960 has 1080 divisors, whose sum is σ = 126452047176. Its totient is φ = 5945425920.

The previous prime is 28648488923. The next prime is 28648488991. The reversal of 28648488960 is 6988484682.

28648488960 is a `hidden beast` number, since 2 + 8 + 64 + 8 + 488 + 96 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 874266624 + 27774222336 = 29568^2 + 166656^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 469647330 + ... + 469647390.

Almost surely, 2^28648488960 is an apocalyptic number.

28648488960 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 28648488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63226023588).

28648488960 is an abundant number, since it is smaller than the sum of its proper divisors (97803558216).

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

28648488960 is a wasteful number, since it uses less digits than its factorization.

28648488960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 28648488960 in words is "twenty-eight billion, six hundred forty-eight million, four hundred eighty-eight thousand, nine hundred sixty".