28740307680 has 384 divisors, whose sum is σ = 115482931200. Its totient is φ = 6539415552.

The previous prime is 28740307667. The next prime is 28740307699. The reversal of 28740307680 is 8670304782.

It is a happy number.

28740307680 is a `hidden beast` number, since 287 + 4 + 0 + 307 + 68 + 0 = 666.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7043881 + ... + 7047959.

It is an arithmetic number, because the mean of its divisors is an integer number (300736800).

Almost surely, 2^28740307680 is an apocalyptic number.

28740307680 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 28740307680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57741465600).

28740307680 is an abundant number, since it is smaller than the sum of its proper divisors (86742623520).

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

28740307680 is a wasteful number, since it uses less digits than its factorization.

28740307680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4343 (or 4329 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 28740307680 in words is "twenty-eight billion, seven hundred forty million, three hundred seven thousand, six hundred eighty".