28934115840 has 480 divisors, whose sum is σ = 119570204160. Its totient is φ = 6612738048.

The previous prime is 28934115839. The next prime is 28934115869. The reversal of 28934115840 is 4851143982.

28934115840 is a `hidden beast` number, since 28 + 9 + 3 + 41 + 1 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 3382609 + ... + 3391151.

It is an arithmetic number, because the mean of its divisors is an integer number (249104592).

Almost surely, 2^28934115840 is an apocalyptic number.

28934115840 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 28934115840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59785102080).

28934115840 is an abundant number, since it is smaller than the sum of its proper divisors (90636088320).

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

28934115840 is an equidigital number, since it uses as much as digits as its factorization.

28934115840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8589 (or 8560 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 28934115840 in words is "twenty-eight billion, nine hundred thirty-four million, one hundred fifteen thousand, eight hundred forty".