28815168960 has 448 divisors, whose sum is σ = 107577331200. Its totient is φ = 7240679424.

The previous prime is 28815168931. The next prime is 28815168971. The reversal of 28815168960 is 6986151882.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 28815168897 and 28815168906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42188779 + ... + 42189461.

Almost surely, 2^28815168960 is an apocalyptic number.

28815168960 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 28815168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53788665600).

28815168960 is an abundant number, since it is smaller than the sum of its proper divisors (78762162240).

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

28815168960 is a wasteful number, since it uses less digits than its factorization.

28815168960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 28815168960 in words is "twenty-eight billion, eight hundred fifteen million, one hundred sixty-eight thousand, nine hundred sixty".