28853637120 has 1248 divisors, whose sum is σ = 132481889280. Its totient is φ = 5626920960.

The previous prime is 28853637083. The next prime is 28853637143. The reversal of 28853637120 is 2173635882.

28853637120 is a `hidden beast` number, since 2 + 8 + 8 + 5 + 3 + 637 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 269660107 + ... + 269660213.

It is an arithmetic number, because the mean of its divisors is an integer number (106155360).

Almost surely, 2^28853637120 is an apocalyptic number.

28853637120 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 28853637120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66240944640).

28853637120 is an abundant number, since it is smaller than the sum of its proper divisors (103628252160).

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

28853637120 is a wasteful number, since it uses less digits than its factorization.

28853637120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 28853637120 in words is "twenty-eight billion, eight hundred fifty-three million, six hundred thirty-seven thousand, one hundred twenty".