28586088960 has 320 divisors, whose sum is σ = 107366878080. Its totient is φ = 6396641280.

The previous prime is 28586088857. The next prime is 28586088961. The reversal of 28586088960 is 6988068582.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 28586088894 and 28586088903.

It is not an unprimeable number, because it can be changed into a prime (28586088961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1085226 + ... + 1111254.

It is an arithmetic number, because the mean of its divisors is an integer number (335521494).

Almost surely, 2^28586088960 is an apocalyptic number.

28586088960 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 28586088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53683439040).

28586088960 is an abundant number, since it is smaller than the sum of its proper divisors (78780789120).

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

28586088960 is a wasteful number, since it uses less digits than its factorization.

28586088960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26079 (or 26063 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 60.

The spelling of 28586088960 in words is "twenty-eight billion, five hundred eighty-six million, eighty-eight thousand, nine hundred sixty".