28719360 has 180 divisors, whose sum is σ = 103134108. Its totient is φ = 7630848.

The previous prime is 28719343. The next prime is 28719373. The reversal of 28719360 is 6391782.

28719360 is a `hidden beast` number, since 287 + 19 + 360 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7485696 + 21233664 = 2736^2 + 4608^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103542 + ... + 103818.

Almost surely, 2^28719360 is an apocalyptic number.

28719360 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 28719360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51567054).

28719360 is an abundant number, since it is smaller than the sum of its proper divisors (74414748).

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

28719360 is an equidigital number, since it uses as much as digits as its factorization.

28719360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 28719360 is about 5359.0446909874. The cubic root of 28719360 is about 306.2374166703.

The spelling of 28719360 in words is "twenty-eight million, seven hundred nineteen thousand, three hundred sixty".