28810013760 has 336 divisors, whose sum is σ = 110622283200. Its totient is φ = 6821498880.

The previous prime is 28810013737. The next prime is 28810013767. The reversal of 28810013760 is 6731001882.

28810013760 is a `hidden beast` number, since 288 + 1 + 0 + 0 + 1 + 376 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (28810013767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1351666 + ... + 1372814.

Almost surely, 2^28810013760 is an apocalyptic number.

28810013760 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 28810013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55311141600).

28810013760 is an abundant number, since it is smaller than the sum of its proper divisors (81812269440).

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

28810013760 is a wasteful number, since it uses less digits than its factorization.

28810013760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21226 (or 21213 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 28810013760 in words is "twenty-eight billion, eight hundred ten million, thirteen thousand, seven hundred sixty".