28135941120 has 792 divisors, whose sum is σ = 120241909944. Its totient is φ = 6044516352.

The previous prime is 28135941109. The next prime is 28135941149. The reversal of 28135941120 is 2114953182.

28135941120 is a `hidden beast` number, since 28 + 13 + 594 + 11 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14147675136 + 13988265984 = 118944^2 + 118272^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 38384274 + ... + 38385006.

Almost surely, 2^28135941120 is an apocalyptic number.

28135941120 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 28135941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60120954972).

28135941120 is an abundant number, since it is smaller than the sum of its proper divisors (92105968824).

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

28135941120 is a wasteful number, since it uses less digits than its factorization.

28135941120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 28135941120 in words is "twenty-eight billion, one hundred thirty-five million, nine hundred forty-one thousand, one hundred twenty".